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1053501372 = 2232721154293
BaseRepresentation
bin111110110010110…
…010011110111100
32201102100102012100
4332302302132330
54124144020442
6252312105100
735051420400
oct7662623674
92642312170
101053501372
114a07461a0
12254995190
1313a3501c1
149dcb7100
156274d84c
hex3ecb27bc

1053501372 has 108 divisors (see below), whose sum is σ = 3379475736. Its totient is φ = 273631680.

The previous prime is 1053501359. The next prime is 1053501391. The reversal of 1053501372 is 2731053501.

It is a super-3 number, since 3×10535013723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7743 + ... + 46550.

It is an arithmetic number, because the mean of its divisors is an integer number (31291442).

Almost surely, 21053501372 is an apocalyptic number.

1053501372 is a gapful number since it is divisible by the number (12) 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 1053501372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689737868).

1053501372 is an abundant number, since it is smaller than the sum of its proper divisors (2325974364).

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

1053501372 is a wasteful number, since it uses less digits than its factorization.

1053501372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54328 (or 54316 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1053501372 is about 32457.6858694516. The cubic root of 1053501372 is about 1017.5248753243.

Adding to 1053501372 its reverse (2731053501), we get a palindrome (3784554873).

The spelling of 1053501372 in words is "one billion, fifty-three million, five hundred one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 54293 108586 162879 217172 325758 380051 488637 597223 651516 760102 977274 1140153 1194446 1520204 1791669 1954548 2280306 2388892 2660357 3420459 3583338 4180561 4560612 5320714 5375007 6840918 7166676 7981071 8361122 10641428 10750014 12541683 13681836 15962142 16722244 21500028 23943213 25083366 29263927 31924284 37625049 47886426 50166732 58527854 75250098 87791781 95772852 117055708 150500196 175583562 263375343 351167124 526750686 1053501372