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95671680 = 2735133833
BaseRepresentation
bin1011011001111…
…01010110000000
320200000121212120
411230331112000
5143442443210
613254324240
72241124116
oct554752600
9220017776
1095671680
114a005605
1228059680
1316a89680
14c9c5ab6
1585ec270
hex5b3d580

95671680 has 128 divisors (see below), whose sum is σ = 328497120. Its totient is φ = 23543808.

The previous prime is 95671663. The next prime is 95671687. The reversal of 95671680 is 8617659.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95671687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23044 + ... + 26876.

Almost surely, 295671680 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 95671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164248560).

95671680 is an abundant number, since it is smaller than the sum of its proper divisors (232825440).

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

95671680 is a wasteful number, since it uses less digits than its factorization.

95671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 95671680 is about 9781.1901116377. The cubic root of 95671680 is about 457.3631111253.

The spelling of 95671680 in words is "ninety-five million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 3833 4160 4992 6240 7666 8320 11499 12480 15332 19165 22998 24960 30664 38330 45996 49829 57495 61328 76660 91992 99658 114990 122656 149487 153320 183984 199316 229980 245312 249145 298974 306640 367968 398632 459960 490624 498290 597948 613280 735936 747435 797264 919920 996580 1195896 1226560 1471872 1494870 1594528 1839840 1993160 2391792 2453120 2989740 3189056 3679680 3986320 4783584 5979480 6378112 7359360 7972640 9567168 11958960 15945280 19134336 23917920 31890560 47835840 95671680