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99532840 = 23511474813
BaseRepresentation
bin1011110111011…
…00000000101000
320221021210101111
411323230000220
5200440022330
613513200104
72316005131
oct573540050
9227253344
1099532840
1151202550
1229400034
131780bc94
14d30cc88
158b1132a
hex5eec028

99532840 has 64 divisors (see below), whose sum is σ = 249557760. Its totient is φ = 35416320.

The previous prime is 99532817. The next prime is 99532861. The reversal of 99532840 is 4823599.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 99532793 and 99532802.

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, 18274 + ... + 23086.

It is an arithmetic number, because the mean of its divisors is an integer number (3899340).

Almost surely, 299532840 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 99532840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778880).

99532840 is an abundant number, since it is smaller than the sum of its proper divisors (150024920).

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

99532840 is a wasteful number, since it uses less digits than its factorization.

99532840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 99532840 is about 9976.6146562850. The cubic root of 99532840 is about 463.4349666921.

The spelling of 99532840 in words is "ninety-nine million, five hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 4813 5170 9626 10340 19252 20680 24065 38504 48130 52943 96260 105886 192520 211772 226211 264715 423544 452422 529430 904844 1058860 1131055 1809688 2117720 2262110 2488321 4524220 4976642 9048440 9953284 12441605 19906568 24883210 49766420 99532840