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95068160 = 213511211
BaseRepresentation
bin1011010101010…
…10000000000000
320121212221222222
411222222000000
5143314140120
613233350212
72233031435
oct552520000
9217787888
1095068160
1149733130
1227a08368
1316907a65
14c8a9b8c
15852d525
hex5aaa000

95068160 has 112 divisors (see below), whose sum is σ = 250070112. Its totient is φ = 34406400.

The previous prime is 95068159. The next prime is 95068187. The reversal of 95068160 is 6186059.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 95068160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450455 + ... + 450665.

Almost surely, 295068160 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 95068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125035056).

95068160 is an abundant number, since it is smaller than the sum of its proper divisors (155001952).

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

95068160 is a wasteful number, since it uses less digits than its factorization.

95068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 95068160 is about 9750.2902520899. The cubic root of 95068160 is about 456.3993628697.

The spelling of 95068160 in words is "ninety-five million, sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 211 220 256 320 352 422 440 512 640 704 844 880 1024 1055 1280 1408 1688 1760 2048 2110 2321 2560 2816 3376 3520 4096 4220 4642 5120 5632 6752 7040 8192 8440 9284 10240 11264 11605 13504 14080 16880 18568 20480 22528 23210 27008 28160 33760 37136 40960 45056 46420 54016 56320 67520 74272 90112 92840 108032 112640 135040 148544 185680 216064 225280 270080 297088 371360 432128 450560 540160 594176 742720 864256 1080320 1188352 1485440 1728512 2160640 2376704 2970880 4321280 4753408 5941760 8642560 9506816 11883520 19013632 23767040 47534080 95068160