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620046144 = 26332315601
BaseRepresentation
bin100100111101010…
…010011101000000
31121012201121102000
4210331102131000
52232212434034
6141305424000
721236206464
oct4475223500
91535647360
10620046144
11298aaa933
1215379b000
139b5c7013
145c4c44a4
153967c599
hex24f52740

620046144 has 112 divisors (see below), whose sum is σ = 1902195840. Its totient is φ = 197683200.

The previous prime is 620046127. The next prime is 620046181. The reversal of 620046144 is 441640026.

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

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, 31944 + ... + 47544.

Almost surely, 2620046144 is an apocalyptic number.

620046144 is a gapful number since it is divisible by the number (64) 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 620046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951097920).

620046144 is an abundant number, since it is smaller than the sum of its proper divisors (1282149696).

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

620046144 is a wasteful number, since it uses less digits than its factorization.

620046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15645 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 620046144 is about 24900.7257725553. The cubic root of 620046144 is about 852.7230521455.

The spelling of 620046144 in words is "six hundred twenty million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 15601 19872 31202 39744 46803 62404 93606 124808 140409 187212 249616 280818 358823 374424 421227 499232 561636 717646 748848 842454 998464 1076469 1123272 1435292 1497696 1684908 2152938 2246544 2870584 2995392 3229407 3369816 4305876 4493088 5741168 6458814 6739632 8611752 8986176 9688221 11482336 12917628 13479264 17223504 19376442 22964672 25835256 26958528 34447008 38752884 51670512 68894016 77505768 103341024 155011536 206682048 310023072 620046144