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644020920 = 233256129327
BaseRepresentation
bin100110011000101…
…111101010111000
31122212211122121200
4212120233222320
52304332132140
6143523334200
721650042004
oct4630575270
91585748550
10644020920
113005954a4
1215b821360
13a356c68a
1461765704
153b816030
hex2662fab8

644020920 has 96 divisors (see below), whose sum is σ = 2127453120. Its totient is φ = 168917760.

The previous prime is 644020913. The next prime is 644020921. The reversal of 644020920 is 29020446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644020921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7297 + ... + 36623.

It is an arithmetic number, because the mean of its divisors is an integer number (22160970).

Almost surely, 2644020920 is an apocalyptic number.

644020920 is a gapful number since it is divisible by the number (60) 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 644020920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063726560).

644020920 is an abundant number, since it is smaller than the sum of its proper divisors (1483432200).

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

644020920 is a wasteful number, since it uses less digits than its factorization.

644020920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29405 (or 29398 counting only the distinct ones).

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

The square root of 644020920 is about 25377.5672592942. The cubic root of 644020920 is about 863.5748615718.

The spelling of 644020920 in words is "six hundred forty-four million, twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 29327 58654 87981 117308 146635 175962 234616 263943 293270 351924 439905 527886 586540 703848 879810 1055772 1173080 1319715 1759620 1788947 2111544 2639430 3519240 3577894 5278860 5366841 7155788 8944735 10557720 10733682 14311576 16100523 17889470 21467364 26834205 32201046 35778940 42934728 53668410 64402092 71557880 80502615 107336820 128804184 161005230 214673640 322010460 644020920