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118013952 = 214374
BaseRepresentation
bin1110000100011…
…00000000000000
322020001201201010
413002030000000
5220202421302
615413240520
72632050000
oct702140000
9266051633
10118013952
11606856a1
1233633140
131b5acc54
1411960000
15a56216c
hex708c000

118013952 has 150 divisors (see below), whose sum is σ = 367121468. Its totient is φ = 33718272.

The previous prime is 118013941. The next prime is 118013977. The reversal of 118013952 is 259310811.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16859133 + ... + 16859139.

Almost surely, 2118013952 is an apocalyptic number.

118013952 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 118013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183560734).

118013952 is an abundant number, since it is smaller than the sum of its proper divisors (249107516).

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

118013952 is an frugal number, since it uses more digits than its factorization.

118013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 118013952 is about 10863.4226650720. The cubic root of 118013952 is about 490.5061436674.

It can be divided in two parts, 11801 and 3952, that added together give a triangular number (15753 = T177).

The spelling of 118013952 in words is "one hundred eighteen million, thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1024 1029 1176 1344 1372 1536 1568 1792 2048 2058 2352 2401 2688 2744 3072 3136 3584 4096 4116 4704 4802 5376 5488 6144 6272 7168 7203 8192 8232 9408 9604 10752 10976 12288 12544 14336 14406 16384 16464 18816 19208 21504 21952 24576 25088 28672 28812 32928 37632 38416 43008 43904 49152 50176 57344 57624 65856 75264 76832 86016 87808 100352 114688 115248 131712 150528 153664 172032 175616 200704 230496 263424 301056 307328 344064 351232 401408 460992 526848 602112 614656 702464 802816 921984 1053696 1204224 1229312 1404928 1843968 2107392 2408448 2458624 2809856 3687936 4214784 4917248 5619712 7375872 8429568 9834496 14751744 16859136 19668992 29503488 39337984 59006976 118013952