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20398368 = 2531729431
BaseRepresentation
bin100110111010…
…0000100100000
31102101100022010
41031310010200
520210221433
62005112520
7335245314
oct115640440
942340263
1020398368
1110572661
1269b8740
1342c2853
1429cdb44
151bcde63
hex1374120

20398368 has 96 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6164480.

The previous prime is 20398333. The next prime is 20398387. The reversal of 20398368 is 86389302.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47113 + ... + 47543.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 220398368 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 20398368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

20398368 is an abundant number, since it is smaller than the sum of its proper divisors (38388192).

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

20398368 is a wasteful number, since it uses less digits than its factorization.

20398368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 20398368 is about 4516.4552472044. The cubic root of 20398368 is about 273.2321550300.

The spelling of 20398368 in words is "twenty million, three hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 431 464 493 544 696 816 862 928 986 1293 1392 1479 1632 1724 1972 2586 2784 2958 3448 3944 5172 5916 6896 7327 7888 10344 11832 12499 13792 14654 15776 20688 21981 23664 24998 29308 37497 41376 43962 47328 49996 58616 74994 87924 99992 117232 149988 175848 199984 212483 234464 299976 351696 399968 424966 599952 637449 703392 849932 1199904 1274898 1699864 2549796 3399728 5099592 6799456 10199184 20398368