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244132920 = 233351713297
BaseRepresentation
bin11101000110100…
…10110000111000
3122000101020102000
432203102300320
5444444223140
640120341000
76023044533
oct1643226070
9560336360
10244132920
11115896749
1269914760
133b76a065
14245cda1a
1516675a30
hexe8d2c38

244132920 has 128 divisors (see below), whose sum is σ = 861710400. Its totient is φ = 61267968.

The previous prime is 244132913. The next prime is 244132921. The reversal of 244132920 is 29231442.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244132921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11712 + ... + 25008.

Almost surely, 2244132920 is an apocalyptic number.

244132920 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 244132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430855200).

244132920 is an abundant number, since it is smaller than the sum of its proper divisors (617577480).

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

244132920 is a wasteful number, since it uses less digits than its factorization.

244132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 244132920 is about 15624.7534380546. The cubic root of 244132920 is about 624.9934249975.

The spelling of 244132920 in words is "two hundred forty-four million, one hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 13297 18360 26594 39891 53188 66485 79782 106376 119673 132970 159564 199455 226049 239346 265940 319128 359019 398910 452098 478692 531880 598365 678147 718038 797820 904196 957384 1130245 1196730 1356294 1436076 1595640 1795095 1808392 2034441 2260490 2393460 2712588 2872152 3390735 3590190 4068882 4520980 4786920 5425176 6103323 6781470 7180380 8137764 9041960 10172205 12206646 13562940 14360760 16275528 20344410 24413292 27125880 30516615 40688820 48826584 61033230 81377640 122066460 244132920