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99712040 = 2353789757
BaseRepresentation
bin1011111000101…
…11110000101000
320221121220012112
411330113300220
5201011241130
613521101452
72320352441
oct574276050
9227556175
1099712040
115131514a
1229487888
131787270c
14d3582c8
158b49495
hex5f17c28

99712040 has 64 divisors (see below), whose sum is σ = 233312400. Its totient is φ = 38320128.

The previous prime is 99712031. The next prime is 99712043. The reversal of 99712040 is 4021799.

It can be written as a sum of positive squares in 8 ways, for example, as 54848836 + 44863204 = 7406^2 + 6698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 99711988 and 99712006.

It is not an unprimeable number, because it can be changed into a prime (99712043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131342 + ... + 132098.

Almost surely, 299712040 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 99712040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116656200).

99712040 is an abundant number, since it is smaller than the sum of its proper divisors (133600360).

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

99712040 is a wasteful number, since it uses less digits than its factorization.

99712040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 99712040 is about 9985.5916199292. The cubic root of 99712040 is about 463.7129243856.

The spelling of 99712040 in words is "ninety-nine million, seven hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 757 890 1480 1514 1780 3028 3293 3560 3785 6056 6586 7570 13172 15140 16465 26344 28009 30280 32930 56018 65860 67373 112036 131720 134746 140045 224072 269492 280090 336865 538984 560180 673730 1120360 1347460 2492801 2694920 4985602 9971204 12464005 19942408 24928010 49856020 99712040