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116250120 = 23335715377
BaseRepresentation
bin1101110110111…
…01011000001000
322002202010012000
412323131120020
5214230000440
615311351000
72611052430
oct673353010
9262663160
10116250120
115a690488
1232b22460
131b11316c
14116212c0
15a314730
hex6edd608

116250120 has 128 divisors (see below), whose sum is σ = 442886400. Its totient is φ = 26569728.

The previous prime is 116250103. The next prime is 116250139. The reversal of 116250120 is 21052611.

116250120 is a `hidden beast` number, since 1 + 162 + 501 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116250093 and 116250102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (3460050).

Almost surely, 2116250120 is an apocalyptic number.

116250120 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 116250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221443200).

116250120 is an abundant number, since it is smaller than the sum of its proper divisors (326636280).

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

116250120 is a wasteful number, since it uses less digits than its factorization.

116250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 116250120 is about 10781.9348912892. The cubic root of 116250120 is about 488.0501717654.

The spelling of 116250120 in words is "one hundred sixteen million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 15377 30754 46131 61508 76885 92262 107639 123016 138393 153770 184524 215278 230655 276786 307540 322917 369048 415179 430556 461310 538195 553572 615080 645834 691965 830358 861112 922620 968751 1076390 1107144 1291668 1383930 1614585 1660716 1845240 1937502 2075895 2152780 2583336 2767860 2906253 3229170 3321432 3875004 4151790 4305560 4843755 5535720 5812506 6458340 7750008 8303580 9687510 11625012 12916680 14531265 16607160 19375020 23250024 29062530 38750040 58125060 116250120