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95132160 = 293254129
BaseRepresentation
bin1011010101110…
…01101000000000
320122000012210100
411222321220000
5143323212120
613235002400
72233416144
oct552715000
9218005710
1095132160
1149777222
1227a39400
131692ac26
14c8c5224
158542490
hex5ab9a00

95132160 has 120 divisors (see below), whose sum is σ = 329549220. Its totient is φ = 25362432.

The previous prime is 95132159. The next prime is 95132171. The reversal of 95132160 is 6123159.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 186624 = 9744^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 20976 + ... + 25104.

Almost surely, 295132160 is an apocalyptic number.

95132160 is a gapful number since it is divisible by the number (90) 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 95132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164774610).

95132160 is an abundant number, since it is smaller than the sum of its proper divisors (234417060).

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

95132160 is a wasteful number, since it uses less digits than its factorization.

95132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95132160 is about 9753.5716535021. The cubic root of 95132160 is about 456.5017560966.

The spelling of 95132160 in words is "ninety-five million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4129 4608 5760 7680 8258 11520 12387 16516 20645 23040 24774 33032 37161 41290 49548 61935 66064 74322 82580 99096 123870 132128 148644 165160 185805 198192 247740 264256 297288 330320 371610 396384 495480 528512 594576 660640 743220 792768 990960 1057024 1189152 1321280 1486440 1585536 1981920 2114048 2378304 2642560 2972880 3171072 3963840 4756608 5285120 5945760 6342144 7927680 9513216 10570240 11891520 15855360 19026432 23783040 31710720 47566080 95132160