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96942720 = 273577213
BaseRepresentation
bin1011100011100…
…11101010000000
320202102012102010
411301303222000
5144304131340
613341452520
72254666560
oct561635200
9222365363
1096942720
114a7a3556
1228571140
1317113074
14cc36da0
15879db80
hex5c73a80

96942720 has 128 divisors (see below), whose sum is σ = 353197440. Its totient is φ = 22155264.

The previous prime is 96942719. The next prime is 96942739. The reversal of 96942720 is 2724969.

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

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, 9834 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (2759355).

Almost surely, 296942720 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 96942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176598720).

96942720 is an abundant number, since it is smaller than the sum of its proper divisors (256254720).

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

96942720 is a wasteful number, since it uses less digits than its factorization.

96942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 96942720 is about 9845.9494209548. The cubic root of 96942720 is about 459.3796300149.

The spelling of 96942720 in words is "ninety-six million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 7213 13440 14426 21639 28852 36065 43278 50491 57704 72130 86556 100982 108195 115408 144260 151473 173112 201964 216390 230816 252455 288520 302946 346224 403928 432780 461632 504910 577040 605892 692448 757365 807856 865560 923264 1009820 1154080 1211784 1384896 1514730 1615712 1731120 2019640 2308160 2423568 2769792 3029460 3231424 3462240 4039280 4616320 4847136 6058920 6462848 6924480 8078560 9694272 12117840 13848960 16157120 19388544 24235680 32314240 48471360 96942720