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115270896 = 243133159101
BaseRepresentation
bin1101101111011…
…10010011110000
322000220100221110
412313232103300
5214002132041
615234353320
72566533516
oct667562360
9260810843
10115270896
115a081804
123272b840
131ab5c540
14114484b6
15a1be516
hex6dee4f0

115270896 has 160 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 33408000.

The previous prime is 115270877. The next prime is 115270913. The reversal of 115270896 is 698072511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141246 + ... + 1141346.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2115270896 is an apocalyptic number.

115270896 is a gapful number since it is divisible by the number (16) 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 115270896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

115270896 is an abundant number, since it is smaller than the sum of its proper divisors (224707344).

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

115270896 is a wasteful number, since it uses less digits than its factorization.

115270896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 115270896 is about 10736.4284564281. The cubic root of 115270896 is about 486.6759548695.

The spelling of 115270896 in words is "one hundred fifteen million, two hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 59 62 78 93 101 104 118 124 156 177 186 202 208 236 248 303 312 354 372 403 404 472 496 606 624 708 744 767 806 808 944 1209 1212 1313 1416 1488 1534 1612 1616 1829 2301 2418 2424 2626 2832 3068 3131 3224 3658 3939 4602 4836 4848 5252 5487 5959 6136 6262 6448 7316 7878 9204 9393 9672 10504 10974 11918 12272 12524 14632 15756 17877 18408 18786 19344 21008 21948 23777 23836 25048 29264 31512 35754 36816 37572 40703 43896 47554 47672 50096 63024 71331 71508 75144 77467 81406 87792 95108 95344 122109 142662 143016 150288 154934 162812 184729 190216 232401 244218 285324 286032 309868 325624 369458 380432 464802 488436 554187 570648 619736 651248 738916 929604 976872 1108374 1141296 1239472 1477832 1859208 1953744 2216748 2401477 2955664 3718416 4433496 4802954 7204431 8866992 9605908 14408862 19211816 28817724 38423632 57635448 115270896