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116552160 = 25325292791
BaseRepresentation
bin1101111001001…
…11000111100000
322010022110111200
412330213013200
5214314132120
615322041200
72613451134
oct674470740
9263273450
10116552160
115a8773aa
1233049200
131b1ba79a
141169d3c4
15a373e90
hex6f271e0

116552160 has 144 divisors (see below), whose sum is σ = 411596640. Its totient is φ = 29998080.

The previous prime is 116552113. The next prime is 116552171. The reversal of 116552160 is 61255611.

It is a happy number.

116552160 is a `hidden beast` number, since 1 + 1 + 655 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40365 + ... + 43155.

It is an arithmetic number, because the mean of its divisors is an integer number (2858310).

Almost surely, 2116552160 is an apocalyptic number.

116552160 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 116552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205798320).

116552160 is an abundant number, since it is smaller than the sum of its proper divisors (295044480).

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

116552160 is a wasteful number, since it uses less digits than its factorization.

116552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 116552160 is about 10795.9325674070. The cubic root of 116552160 is about 488.4724887225.

The spelling of 116552160 in words is "one hundred sixteen million, five hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 2791 3480 4176 4640 5220 5582 6960 8352 8373 10440 11164 13920 13955 16746 20880 22328 25119 27910 33492 41760 41865 44656 50238 55820 66984 80939 83730 89312 100476 111640 125595 133968 161878 167460 200952 223280 242817 251190 267936 323756 334920 401904 404695 446560 485634 502380 647512 669840 728451 803808 809390 971268 1004760 1214085 1295024 1339680 1456902 1618780 1942536 2009520 2428170 2590048 2913804 3237560 3642255 3885072 4019040 4856340 5827608 6475120 7284510 7770144 9712680 11655216 12950240 14569020 19425360 23310432 29138040 38850720 58276080 116552160