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1090795152 = 243711013169
BaseRepresentation
bin100000100000100…
…0011011010010000
32211000112010122110
41001001003122100
54213220421102
6300123305320
736013414536
oct10101033220
92730463573
101090795152
1150a7a85a7
1226537b240
13144caa025
14a4c24156
1565b6886c
hex41043690

1090795152 has 80 divisors (see below), whose sum is σ = 2886779520. Its totient is φ = 354816000.

The previous prime is 1090795141. The next prime is 1090795163. The reversal of 1090795152 is 2515970901.

It is an interprime number because it is at equal distance from previous prime (1090795141) and next prime (1090795163).

It is a self number, because there is not a number n which added to its sum of digits gives 1090795152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342624 + ... + 345792.

It is an arithmetic number, because the mean of its divisors is an integer number (36084744).

Almost surely, 21090795152 is an apocalyptic number.

1090795152 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 1090795152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443389760).

1090795152 is an abundant number, since it is smaller than the sum of its proper divisors (1795984368).

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

1090795152 is a wasteful number, since it uses less digits than its factorization.

1090795152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 1090795152 is about 33027.1880728590. The cubic root of 1090795152 is about 1029.3926579423.

The spelling of 1090795152 in words is "one billion, ninety million, seven hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 101 142 202 213 284 303 404 426 568 606 808 852 1136 1212 1616 1704 2424 3169 3408 4848 6338 7171 9507 12676 14342 19014 21513 25352 28684 38028 43026 50704 57368 76056 86052 114736 152112 172104 224999 320069 344208 449998 640138 674997 899996 960207 1280276 1349994 1799992 1920414 2560552 2699988 3599984 3840828 5121104 5399976 7681656 10799952 15363312 22724899 45449798 68174697 90899596 136349394 181799192 272698788 363598384 545397576 1090795152