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99828520 = 23511972339
BaseRepresentation
bin1011111001101…
…00001100101000
320221211210222121
411330310030220
5201024003040
613523401024
72321346151
oct574641450
9227753877
1099828520
1151394710
1229523174
13178b373c
14d388928
158b6dc4a
hex5f34328

99828520 has 64 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 35911680.

The previous prime is 99828493. The next prime is 99828523. The reversal of 99828520 is 2582899.

It is not an unprimeable number, because it can be changed into a prime (99828523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41511 + ... + 43849.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 299828520 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 99828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

99828520 is an abundant number, since it is smaller than the sum of its proper divisors (147837080).

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

99828520 is a wasteful number, since it uses less digits than its factorization.

99828520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 99828520 is about 9991.4223211713. The cubic root of 99828520 is about 463.8934183459.

The spelling of 99828520 in words is "ninety-nine million, eight hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 2339 3880 4268 4678 5335 8536 9356 10670 11695 18712 21340 23390 25729 42680 46780 51458 93560 102916 128645 205832 226883 257290 453766 514580 907532 1029160 1134415 1815064 2268830 2495713 4537660 4991426 9075320 9982852 12478565 19965704 24957130 49914260 99828520