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1080153144 = 23347534493
BaseRepresentation
bin100000001100001…
…1101010000111000
32210021111110120000
41000120131100320
54203004400034
6255103233000
735524102350
oct10030352070
92707443500
101080153144
1150479a054
122618a8760
13142a22195
14a3653b60
1564c65599
hex4061d438

1080153144 has 160 divisors (see below), whose sum is σ = 3523655520. Its totient is φ = 302724864.

The previous prime is 1080153133. The next prime is 1080153199. The reversal of 1080153144 is 4413510801.

It is a happy number.

1080153144 is a `hidden beast` number, since 10 + 80 + 1 + 531 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238162 + ... + 242654.

It is an arithmetic number, because the mean of its divisors is an integer number (22022847).

Almost surely, 21080153144 is an apocalyptic number.

1080153144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080153144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761827760).

1080153144 is an abundant number, since it is smaller than the sum of its proper divisors (2443502376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1080153144 is a wasteful number, since it uses less digits than its factorization.

1080153144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1080153144 is about 32865.6833794765. The cubic root of 1080153144 is about 1026.0340606319.

Adding to 1080153144 its reverse (4413510801), we get a palindrome (5493663945).

The spelling of 1080153144 in words is "one billion, eighty million, one hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1113 1134 1272 1431 1484 1512 1908 2226 2268 2862 2968 3339 3816 4293 4452 4493 4536 5724 6678 8586 8904 8986 10017 11448 13356 13479 17172 17972 20034 26712 26958 30051 31451 34344 35944 40068 40437 53916 60102 62902 80136 80874 94353 107832 120204 121311 125804 161748 188706 238129 240408 242622 251608 283059 323496 363933 377412 476258 485244 566118 714387 727866 754824 849177 952516 970488 1132236 1428774 1455732 1666903 1698354 1905032 2143161 2264472 2547531 2857548 2911464 3333806 3396708 4286322 5000709 5095062 5715096 6429483 6667612 6793416 8572644 10001418 10190124 12858966 13335224 15002127 17145288 19288449 20002836 20380248 25717932 30004254 38576898 40005672 45006381 51435864 60008508 77153796 90012762 120017016 135019143 154307592 180025524 270038286 360051048 540076572 1080153144