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96107440 = 245111331271
BaseRepresentation
bin1011011101001…
…11101110110000
320200211202121211
411232213232300
5144100414230
613311525504
72244620422
oct556475660
9220752554
1096107440
114a282a40
1228229894
1316bacb10
14ca9a812
15868642a
hex5ba7bb0

96107440 has 160 divisors (see below), whose sum is σ = 271982592. Its totient is φ = 31104000.

The previous prime is 96107419. The next prime is 96107447. The reversal of 96107440 is 4470169.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (96107447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354505 + ... + 354775.

Almost surely, 296107440 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 96107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135991296).

96107440 is an abundant number, since it is smaller than the sum of its proper divisors (175875152).

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

96107440 is a wasteful number, since it uses less digits than its factorization.

96107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 96107440 is about 9803.4402124968. The cubic root of 96107440 is about 458.0564501399.

The spelling of 96107440 in words is "ninety-six million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 271 286 310 341 403 440 496 520 542 572 620 682 715 806 880 1040 1084 1144 1240 1355 1364 1430 1612 1705 2015 2168 2288 2480 2710 2728 2860 2981 3224 3410 3523 4030 4336 4433 5420 5456 5720 5962 6448 6820 7046 8060 8401 8866 10840 11440 11924 13640 14092 14905 16120 16802 17615 17732 21680 22165 23848 27280 28184 29810 32240 33604 35230 35464 38753 42005 44330 47696 56368 59620 67208 70460 70928 77506 84010 88660 92411 109213 119240 134416 140920 155012 168020 177320 184822 193765 218426 238480 281840 310024 336040 354640 369644 387530 436852 462055 546065 620048 672080 739288 775060 873704 924110 1092130 1201343 1478576 1550120 1747408 1848220 2184260 2402686 3100240 3696440 4368520 4805372 6006715 7392880 8737040 9610744 12013430 19221488 24026860 48053720 96107440