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118979840 = 28573271
BaseRepresentation
bin1110001011101…
…11110100000000
322021212210122202
413011313310000
5220424323330
615450052332
72643212000
oct705676400
9267783582
10118979840
1161185351
1233a1a0a8
131b85a795
1411b32000
15a6a3445
hex7177d00

118979840 has 144 divisors (see below), whose sum is σ = 333580800. Its totient is φ = 40642560.

The previous prime is 118979831. The next prime is 118979857. The reversal of 118979840 is 48979811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438905 + ... + 439175.

Almost surely, 2118979840 is an apocalyptic number.

118979840 is a gapful number since it is divisible by the number (10) 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 118979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166790400).

118979840 is an abundant number, since it is smaller than the sum of its proper divisors (214600960).

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

118979840 is an frugal number, since it uses more digits than its factorization.

118979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 47.

The square root of 118979840 is about 10907.7880434119. The cubic root of 118979840 is about 491.8406957752.

The spelling of 118979840 in words is "one hundred eighteen million, nine hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 271 280 320 343 392 448 490 542 560 640 686 784 896 980 1084 1120 1280 1355 1372 1568 1715 1792 1897 1960 2168 2240 2710 2744 3136 3430 3794 3920 4336 4480 5420 5488 6272 6860 7588 7840 8672 8960 9485 10840 10976 12544 13279 13720 15176 15680 17344 18970 21680 21952 26558 27440 30352 31360 34688 37940 43360 43904 53116 54880 60704 62720 66395 69376 75880 86720 87808 92953 106232 109760 121408 132790 151760 173440 185906 212464 219520 242816 265580 303520 346880 371812 424928 439040 464765 485632 531160 607040 743624 849856 929530 1062320 1214080 1487248 1699712 1859060 2124640 2428160 2974496 3399424 3718120 4249280 5948992 7436240 8498560 11897984 14872480 16997120 23795968 29744960 59489920 118979840