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95132016 = 24337163193
BaseRepresentation
bin1011010101110…
…01100101110000
320122000012121000
411222321211300
5143323211031
613235002000
72233415550
oct552714560
9218005530
1095132016
1149777101
1227a39300
131692ab45
14c8c5160
1585423e6
hex5ab9970

95132016 has 160 divisors (see below), whose sum is σ = 315614720. Its totient is φ = 26873856.

The previous prime is 95132003. The next prime is 95132021. The reversal of 95132016 is 61023159.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 492816 + ... + 493008.

It is an arithmetic number, because the mean of its divisors is an integer number (1972592).

Almost surely, 295132016 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 95132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157807360).

95132016 is an abundant number, since it is smaller than the sum of its proper divisors (220482704).

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

95132016 is a wasteful number, since it uses less digits than its factorization.

95132016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

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

The square root of 95132016 is about 9753.5642715881. The cubic root of 95132016 is about 456.5015257634.

The spelling of 95132016 in words is "ninety-five million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 193 216 252 326 336 378 386 432 489 504 579 652 756 772 978 1008 1141 1158 1304 1351 1467 1512 1544 1737 1956 2282 2316 2608 2702 2934 3024 3088 3423 3474 3912 4053 4401 4564 4632 5211 5404 5868 6846 6948 7824 8106 8802 9128 9264 10269 10422 10808 11736 12159 13692 13896 16212 17604 18256 20538 20844 21616 23472 24318 27384 27792 30807 31459 32424 35208 36477 41076 41688 48636 54768 61614 62918 64848 70416 72954 82152 83376 94377 97272 123228 125836 145908 164304 188754 194544 220213 246456 251672 283131 291816 377508 440426 492912 503344 566262 583632 660639 755016 849393 880852 1132524 1321278 1510032 1698786 1761704 1981917 2265048 2642556 3397572 3523408 3963834 4530096 5285112 5945751 6795144 7927668 10570224 11891502 13590288 15855336 23783004 31710672 47566008 95132016