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96091520 = 275789241
BaseRepresentation
bin1011011101000…
…11110110000000
320200210221210012
411232203312000
5144044412040
613311324052
72244523130
oct556436600
9220727705
1096091520
114a271a88
1228220628
1316ba57b5
14ca94ac0
158681865
hex5ba3d80

96091520 has 128 divisors (see below), whose sum is σ = 266587200. Its totient is φ = 32440320.

The previous prime is 96091519. The next prime is 96091543. The reversal of 96091520 is 2519069.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 398600 + ... + 398840.

Almost surely, 296091520 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 96091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

96091520 is an abundant number, since it is smaller than the sum of its proper divisors (170495680).

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

96091520 is a wasteful number, since it uses less digits than its factorization.

96091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 96091520 is about 9802.6282190033. The cubic root of 96091520 is about 458.0311567065.

The spelling of 96091520 in words is "ninety-six million, ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 128 140 160 178 224 241 280 320 356 445 448 482 560 623 640 712 890 896 964 1120 1205 1246 1424 1687 1780 1928 2240 2410 2492 2848 3115 3374 3560 3856 4480 4820 4984 5696 6230 6748 7120 7712 8435 9640 9968 11392 12460 13496 14240 15424 16870 19280 19936 21449 24920 26992 28480 30848 33740 38560 39872 42898 49840 53984 56960 67480 77120 79744 85796 99680 107245 107968 134960 150143 154240 171592 199360 214490 215936 269920 300286 343184 398720 428980 539840 600572 686368 750715 857960 1079680 1201144 1372736 1501430 1715920 2402288 2745472 3002860 3431840 4804576 6005720 6863680 9609152 12011440 13727360 19218304 24022880 48045760 96091520