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96080640 = 2835131191
BaseRepresentation
bin1011011101000…
…01001100000000
320200210101212020
411232201030000
5144044040030
613311201440
72244446325
oct556411400
9220711766
1096080640
114a264897
1228216280
1316ba0866
14ca90b4c
15867d510
hex5ba1300

96080640 has 144 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 25292800.

The previous prime is 96080627. The next prime is 96080653. The reversal of 96080640 is 4608069.

It is an interprime number because it is at equal distance from previous prime (96080627) and next prime (96080653).

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, 502945 + ... + 503135.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 296080640 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 96080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

96080640 is an abundant number, since it is smaller than the sum of its proper divisors (214738176).

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

96080640 is a wasteful number, since it uses less digits than its factorization.

96080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 96080640 is about 9802.0732500834. The cubic root of 96080640 is about 458.0138691350.

The spelling of 96080640 in words is "ninety-six million, eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 191 192 240 256 262 320 382 384 393 480 524 573 640 655 764 768 786 955 960 1048 1146 1280 1310 1528 1572 1910 1920 1965 2096 2292 2620 2865 3056 3144 3820 3840 3930 4192 4584 5240 5730 6112 6288 7640 7860 8384 9168 10480 11460 12224 12576 15280 15720 16768 18336 20960 22920 24448 25021 25152 30560 31440 33536 36672 41920 45840 48896 50042 50304 61120 62880 73344 75063 83840 91680 100084 100608 122240 125105 125760 146688 150126 167680 183360 200168 244480 250210 251520 300252 366720 375315 400336 500420 503040 600504 733440 750630 800672 1000840 1201008 1501260 1601344 2001680 2402016 3002520 3202688 4003360 4804032 6005040 6405376 8006720 9608064 12010080 16013440 19216128 24020160 32026880 48040320 96080640