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96871040 = 275723089
BaseRepresentation
bin1011100011000…
…10001010000000
320202021120002022
411301202022000
5144244333130
613340141012
72254250600
oct561421200
9222246068
1096871040
114a754712
1228537768
13170b9556
14cc18c00
1587877e5
hex5c62280

96871040 has 96 divisors (see below), whose sum is σ = 269478900. Its totient is φ = 33202176.

The previous prime is 96871039. The next prime is 96871067. The reversal of 96871040 is 4017869.

It can be written as a sum of positive squares in 2 ways, for example, as 93857344 + 3013696 = 9688^2 + 1736^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29816 + ... + 32904.

Almost surely, 296871040 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 96871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134739450).

96871040 is an abundant number, since it is smaller than the sum of its proper divisors (172607860).

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

96871040 is a wasteful number, since it uses less digits than its factorization.

96871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 96871040 is about 9842.3086722577. The cubic root of 96871040 is about 459.2663794582.

The spelling of 96871040 in words is "ninety-six million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3089 3136 3920 4480 6178 6272 7840 12356 15445 15680 21623 24712 30890 31360 43246 49424 61780 86492 98848 108115 123560 151361 172984 197696 216230 247120 302722 345968 395392 432460 494240 605444 691936 756805 864920 988480 1210888 1383872 1513610 1729840 1976960 2421776 2767744 3027220 3459680 4843552 6054440 6919360 9687104 12108880 13838720 19374208 24217760 48435520 96871040