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99966320 = 24531173233
BaseRepresentation
bin1011111010101…
…01110101110000
320222002211000022
411331111311300
5201042410240
613530343012
72322461666
oct575256560
9228084008
1099966320
11514791a3
122958aa68
131793138c
14d3c2c36
158b999b5
hex5f55d70

99966320 has 80 divisors (see below), whose sum is σ = 242341632. Its totient is φ = 38307840.

The previous prime is 99966301. The next prime is 99966329. The reversal of 99966320 is 2366999.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99966329) 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, 428924 + ... + 429156.

Almost surely, 299966320 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 99966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170816).

99966320 is an abundant number, since it is smaller than the sum of its proper divisors (142375312).

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

99966320 is a wasteful number, since it uses less digits than its factorization.

99966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 99966320 is about 9998.3158581833. The cubic root of 99966320 is about 464.1067679394.

The spelling of 99966320 in words is "ninety-nine million, nine hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 173 233 248 310 346 466 496 620 692 865 932 1165 1240 1384 1730 1864 2330 2480 2768 3460 3728 4660 5363 6920 7223 9320 10726 13840 14446 18640 21452 26815 28892 36115 40309 42904 53630 57784 72230 80618 85808 107260 115568 144460 161236 201545 214520 288920 322472 403090 429040 577840 644944 806180 1249579 1612360 2499158 3224720 4998316 6247895 9996632 12495790 19993264 24991580 49983160 99966320