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299239000920 = 23335331837079
BaseRepresentation
bin1000101101011000000…
…10001100101101011000
31001121101110222021021000
410112230002030231120
514400320141012140
6345245110145000
730422264353206
oct4265402145530
91047343867230
10299239000920
111059a7684442
1249bb2652160
13222ab2828b2
14106aa04a076
157bb598ca30
hex45ac08cb58

299239000920 has 128 divisors (see below), whose sum is σ = 1000478016000. Its totient is φ = 79555893120.

The previous prime is 299239000903. The next prime is 299239000933. The reversal of 299239000920 is 29000932992.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61060 + ... + 776019.

It is an arithmetic number, because the mean of its divisors is an integer number (7816234500).

Almost surely, 2299239000920 is an apocalyptic number.

299239000920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299239000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500239008000).

299239000920 is an abundant number, since it is smaller than the sum of its proper divisors (701239015080).

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

299239000920 is a wasteful number, since it uses less digits than its factorization.

299239000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837430 (or 837420 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 299239000920 in words is "two hundred ninety-nine billion, two hundred thirty-nine million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 331 360 540 662 993 1080 1324 1655 1986 2648 2979 3310 3972 4965 5958 6620 7944 8937 9930 11916 13240 14895 17874 19860 23832 29790 35748 39720 44685 59580 71496 89370 119160 178740 357480 837079 1674158 2511237 3348316 4185395 5022474 6696632 7533711 8370790 10044948 12556185 15067422 16741580 20089896 22601133 25112370 30134844 33483160 37668555 45202266 50224740 60269688 75337110 90404532 100449480 113005665 150674220 180809064 226011330 277073149 301348440 452022660 554146298 831219447 904045320 1108292596 1385365745 1662438894 2216585192 2493658341 2770731490 3324877788 4156097235 4987316682 5541462980 6649755576 7480975023 8312194470 9974633364 11082925960 12468291705 14961950046 16624388940 19949266728 24936583410 29923900092 33248777880 37404875115 49873166820 59847800184 74809750230 99746333640 149619500460 299239000920