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115157456 = 2417677189
BaseRepresentation
bin1101101110100…
…10100111010000
322000200121022222
412313102213100
5213440014311
615232120212
72565552011
oct667224720
9260617288
10115157456
115a004557
1232696068
131ab1ca0b
1411419008
15a19aadb
hex6dd29d0

115157456 has 80 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 52039680.

The previous prime is 115157417. The next prime is 115157477. The reversal of 115157456 is 654751511.

It is a super-2 number, since 2×1151574562 = 26522479344783872, which contains 22 as substring.

It is a congruent number.

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, 1293860 + ... + 1293948.

It is an arithmetic number, because the mean of its divisors is an integer number (3073464).

Almost surely, 2115157456 is an apocalyptic number.

115157456 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 115157456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

115157456 is an abundant number, since it is smaller than the sum of its proper divisors (130719664).

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

115157456 is a wasteful number, since it uses less digits than its factorization.

115157456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 21000, while the sum is 35.

The square root of 115157456 is about 10731.1442073993. The cubic root of 115157456 is about 486.5162538444.

The spelling of 115157456 in words is "one hundred fifteen million, one hundred fifty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 67 68 71 89 134 136 142 178 268 272 284 356 536 568 712 1072 1136 1139 1207 1424 1513 2278 2414 3026 4556 4757 4828 5963 6052 6319 9112 9514 9656 11926 12104 12638 18224 19028 19312 23852 24208 25276 38056 47704 50552 76112 80869 95408 101104 101371 107423 161738 202742 214846 323476 405484 423373 429692 646952 810968 846746 859384 1293904 1621936 1693492 1718768 3386984 6773968 7197341 14394682 28789364 57578728 115157456