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620936928 = 2535471699
BaseRepresentation
bin100101000000101…
…011111011100000
31121021101212100000
4211000223323200
52232424440203
6141340500000
721246606513
oct4500537340
91537355300
10620936928
11299559117
12153b4a600
139b849601
145c676d7a
15397a64a3
hex2502bee0

620936928 has 144 divisors (see below), whose sum is σ = 1871251200. Its totient is φ = 202455936.

The previous prime is 620936903. The next prime is 620936941. The reversal of 620936928 is 829639026.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 364623 + ... + 366321.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2620936928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620936928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

620936928 is an abundant number, since it is smaller than the sum of its proper divisors (1250314272).

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

620936928 is a wasteful number, since it uses less digits than its factorization.

620936928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 620936928 is about 24918.6060605324. The cubic root of 620936928 is about 853.1312091807.

The spelling of 620936928 in words is "six hundred twenty million, nine hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 282 288 324 376 423 432 486 564 648 752 846 864 972 1128 1269 1296 1504 1692 1699 1944 2256 2538 2592 3384 3398 3807 3888 4512 5076 5097 6768 6796 7614 7776 10152 10194 11421 13536 13592 15228 15291 20304 20388 22842 27184 30456 30582 40608 40776 45684 45873 54368 60912 61164 79853 81552 91368 91746 121824 122328 137619 159706 163104 182736 183492 239559 244656 275238 319412 365472 366984 412857 479118 489312 550476 638824 718677 733968 825714 958236 1100952 1277648 1437354 1467936 1651428 1916472 2156031 2201904 2555296 2874708 3302856 3832944 4312062 4403808 5749416 6468093 6605712 7665888 8624124 11498832 12936186 13211424 17248248 19404279 22997664 25872372 34496496 38808558 51744744 68992992 77617116 103489488 155234232 206978976 310468464 620936928