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620056320 = 28351312421
BaseRepresentation
bin100100111101010…
…100111100000000
31121012202010100220
4210331110330000
52232213300240
6141305543040
721236251242
oct4475247400
91535663326
10620056320
11299007544
121537a4a80
139b5cb840
145c4c8092
15396805d0
hex24f54f00

620056320 has 144 divisors (see below), whose sum is σ = 2132807712. Its totient is φ = 152616960.

The previous prime is 620056319. The next prime is 620056369. The reversal of 620056320 is 23650026.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43710 + ... + 56130.

Almost surely, 2620056320 is an apocalyptic number.

620056320 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 620056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066403856).

620056320 is an abundant number, since it is smaller than the sum of its proper divisors (1512751392).

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

620056320 is a wasteful number, since it uses less digits than its factorization.

620056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 620056320 is about 24900.9301031106. The cubic root of 620056320 is about 852.7277169931.

The spelling of 620056320 in words is "six hundred twenty million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12421 12480 16640 24842 24960 37263 49684 49920 62105 74526 99368 124210 149052 161473 186315 198736 248420 298104 322946 372630 397472 484419 496840 596208 645892 745260 794944 807365 968838 993680 1192416 1291784 1490520 1589888 1614730 1937676 1987360 2384832 2422095 2583568 2981040 3179776 3229460 3875352 3974720 4769664 4844190 5167136 5962080 6458920 7750704 7949440 9539328 9688380 10334272 11924160 12917840 15501408 15898880 19376760 20668544 23848320 25835680 31002816 38753520 41337088 47696640 51671360 62005632 77507040 103342720 124011264 155014080 206685440 310028160 620056320