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99507660 = 223572310301
BaseRepresentation
bin1011110111001…
…01110111001100
320221020111211220
411323211313030
5200433221120
613512443340
72315541540
oct573456714
9227214756
1099507660
115119563a
12293a9550
1317800695
14d303a20
158b08b40
hex5ee5dcc

99507660 has 96 divisors (see below), whose sum is σ = 332301312. Its totient is φ = 21753600.

The previous prime is 99507649. The next prime is 99507721. The reversal of 99507660 is 6670599.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4510 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (3461472).

Almost surely, 299507660 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 99507660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166150656).

99507660 is an abundant number, since it is smaller than the sum of its proper divisors (232793652).

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

99507660 is a wasteful number, since it uses less digits than its factorization.

99507660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 99507660 is about 9975.3526253461. The cubic root of 99507660 is about 463.3958831874.

The spelling of 99507660 in words is "ninety-nine million, five hundred seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 10301 20602 30903 41204 51505 61806 72107 103010 123612 144214 154515 206020 216321 236923 288428 309030 360535 432642 473846 618060 710769 721070 865284 947692 1081605 1184615 1421538 1442140 1658461 2163210 2369230 2843076 3316922 3553845 4326420 4738460 4975383 6633844 7107690 8292305 9950766 14215380 16584610 19901532 24876915 33169220 49753830 99507660