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96136960 = 285195967
BaseRepresentation
bin1011011101011…
…10111100000000
320200220021010011
411232232330000
5144102340320
613312314304
72245102453
oct556567400
9220807104
1096136960
114a2a3137
1228242994
1316bc039a
14caa749a
15869005a
hex5baef00

96136960 has 144 divisors (see below), whose sum is σ = 250185600. Its totient is φ = 35278848.

The previous prime is 96136939. The next prime is 96136973. The reversal of 96136960 is 6963169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434847 + ... + 1434913.

It is an arithmetic number, because the mean of its divisors is an integer number (1737400).

Almost surely, 296136960 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 96136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092800).

96136960 is an abundant number, since it is smaller than the sum of its proper divisors (154048640).

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

96136960 is a wasteful number, since it uses less digits than its factorization.

96136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 96136960 is about 9804.9456908236. The cubic root of 96136960 is about 458.1033436381.

The spelling of 96136960 in words is "ninety-six million, one hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 64 67 76 80 95 118 128 134 152 160 190 236 256 268 295 304 320 335 380 472 536 590 608 640 670 760 944 1072 1121 1180 1216 1273 1280 1340 1520 1888 2144 2242 2360 2432 2546 2680 3040 3776 3953 4288 4484 4720 4864 5092 5360 5605 6080 6365 7552 7906 8576 8968 9440 10184 10720 11210 12160 12730 15104 15812 17152 17936 18880 19765 20368 21440 22420 24320 25460 31624 35872 37760 39530 40736 42880 44840 50920 63248 71744 75107 75520 79060 81472 85760 89680 101840 126496 143488 150214 158120 162944 179360 203680 252992 286976 300428 316240 325888 358720 375535 407360 505984 600856 632480 717440 751070 814720 1011968 1201712 1264960 1434880 1502140 1629440 2403424 2529920 3004280 4806848 5059840 6008560 9613696 12017120 19227392 24034240 48068480 96136960