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99707972 = 227132191109
BaseRepresentation
bin1011111000101…
…10110001000100
320221121200121212
411330112301010
5201011123342
613521030552
72320334540
oct574266104
9227550555
1099707972
1151312091
1229485458
1317870900
14d356a20
158b48182
hex5f16c44

99707972 has 72 divisors (see below), whose sum is σ = 227505600. Its totient is φ = 37335168.

The previous prime is 99707963. The next prime is 99708001. The reversal of 99707972 is 27970799.

It is a self number, because there is not a number n which added to its sum of digits gives 99707972.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89354 + ... + 90462.

It is an arithmetic number, because the mean of its divisors is an integer number (3159800).

Almost surely, 299707972 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 99707972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113752800).

99707972 is an abundant number, since it is smaller than the sum of its proper divisors (127797628).

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

99707972 is a wasteful number, since it uses less digits than its factorization.

99707972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 50.

The square root of 99707972 is about 9985.3879243623. The cubic root of 99707972 is about 463.7066181936.

It can be divided in two parts, 9970797 and 2, that added together give a palindrome (9970799).

The spelling of 99707972 in words is "ninety-nine million, seven hundred seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 338 364 494 532 676 988 1109 1183 1729 2218 2366 3211 3458 4436 4732 6422 6916 7763 12844 14417 15526 21071 22477 28834 31052 42142 44954 57668 84284 89908 100919 147497 187421 201838 273923 294994 374842 403676 547846 589988 749684 1095692 1311947 1917461 2623894 3560999 3834922 5247788 7121998 7669844 14243996 24926993 49853986 99707972