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115614772 = 227131973229
BaseRepresentation
bin1101110010000…
…10010000110100
322001112211122121
412321002100310
5214044133042
615250005324
72602465210
oct671022064
9261484577
10115614772
115a2970a9
1232876844
131ac4cc10
14114d7940
15a23b367
hex6e42434

115614772 has 96 divisors (see below), whose sum is σ = 266873600. Its totient is φ = 42550272.

The previous prime is 115614761. The next prime is 115614781. The reversal of 115614772 is 277416511.

It is a super-2 number, since 2×1156147722 = 26733551009223968, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 504754 + ... + 504982.

Almost surely, 2115614772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115614772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436800).

115614772 is an abundant number, since it is smaller than the sum of its proper divisors (151258828).

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

115614772 is a wasteful number, since it uses less digits than its factorization.

115614772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 11760, while the sum is 34.

The square root of 115614772 is about 10752.4309809457. The cubic root of 115614772 is about 487.1594248023.

The spelling of 115614772 in words is "one hundred fifteen million, six hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 73 76 91 133 146 182 229 247 266 292 364 458 494 511 532 916 949 988 1022 1387 1603 1729 1898 2044 2774 2977 3206 3458 3796 4351 5548 5954 6412 6643 6916 8702 9709 11908 13286 16717 17404 18031 19418 20839 26572 30457 33434 36062 38836 41678 56563 60914 66868 72124 83356 113126 117019 121828 126217 217321 226252 234038 252434 317623 395941 434642 468076 504868 635246 791882 869284 1270492 1521247 1583764 2223361 3042494 4129099 4446722 6084988 8258198 8893444 16516396 28903693 57807386 115614772