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99960252 = 223711310531
BaseRepresentation
bin1011111010101…
…00010110111100
320222002111200120
411331110112330
5201042212002
613530254540
72322435210
oct575242674
9228074616
1099960252
1151474687
1229587450
131792b6a2
14d3c0940
158b97cbc
hex5f545bc

99960252 has 48 divisors (see below), whose sum is σ = 268945152. Its totient is φ = 28304640.

The previous prime is 99960241. The next prime is 99960253. The reversal of 99960252 is 25206999.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99960253) 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, 4227 + ... + 14757.

It is an arithmetic number, because the mean of its divisors is an integer number (5603024).

Almost surely, 299960252 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 99960252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134472576).

99960252 is an abundant number, since it is smaller than the sum of its proper divisors (168984900).

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

99960252 is a wasteful number, since it uses less digits than its factorization.

99960252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 99960252 is about 9998.0124024728. The cubic root of 99960252 is about 464.0973772538.

The spelling of 99960252 in words is "ninety-nine million, nine hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 9492 10531 21062 31593 42124 63186 73717 126372 147434 221151 294868 442302 884604 1190003 2380006 3570009 4760012 7140018 8330021 14280036 16660042 24990063 33320084 49980126 99960252