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118379664 = 243313107197
BaseRepresentation
bin1110000111001…
…01010010010000
322020202022101000
413003211102100
5220301122124
615425142000
72635132134
oct703452220
9266668330
10118379664
1160905437
123378a900
131b6aa550
1411a173c4
15a5d56c9
hex70e5490

118379664 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 35900928.

The previous prime is 118379659. The next prime is 118379693. The reversal of 118379664 is 466973811.

It is a happy 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, 600814 + ... + 601010.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2118379664 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 118379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

118379664 is an abundant number, since it is smaller than the sum of its proper divisors (252846576).

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

118379664 is a wasteful number, since it uses less digits than its factorization.

118379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 118379664 is about 10880.2419090754. The cubic root of 118379664 is about 491.0122956977.

The spelling of 118379664 in words is "one hundred eighteen million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 107 108 117 144 156 197 208 214 216 234 312 321 351 394 428 432 468 591 624 642 702 788 856 936 963 1182 1284 1391 1404 1576 1712 1773 1872 1926 2364 2561 2568 2782 2808 2889 3152 3546 3852 4173 4728 5122 5136 5319 5564 5616 5778 7092 7683 7704 8346 9456 10244 10638 11128 11556 12519 14184 15366 15408 16692 20488 21079 21276 22256 23049 23112 25038 28368 30732 33384 37557 40976 42158 42552 46098 46224 50076 61464 63237 66768 69147 75114 84316 85104 92196 100152 122928 126474 138294 150228 168632 184392 189711 200304 252948 274027 276588 300456 337264 368784 379422 505896 548054 553176 569133 600912 758844 822081 1011792 1096108 1106352 1138266 1517688 1644162 2192216 2276532 2466243 3035376 3288324 4384432 4553064 4932486 6576648 7398729 9106128 9864972 13153296 14797458 19729944 29594916 39459888 59189832 118379664