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20139392 = 277213219
BaseRepresentation
bin100110011010…
…0110110000000
31101220012001102
41030310312000
520123430032
61555353532
7333116300
oct114646600
941805042
1020139392
1110406029
1268b28a8
134231a00
142963600
151b7c362
hex1334d80

20139392 has 144 divisors (see below), whose sum is σ = 53198100. Its totient is φ = 7547904.

The previous prime is 20139349. The next prime is 20139409. The reversal of 20139392 is 29393102.

It is a super-2 number, since 2×201393922 = 811190220259328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059959 + ... + 1059977.

Almost surely, 220139392 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 20139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26599050).

20139392 is an abundant number, since it is smaller than the sum of its proper divisors (33058708).

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

20139392 is a wasteful number, since it uses less digits than its factorization.

20139392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 20139392 is about 4487.6933941614. The cubic root of 20139392 is about 272.0709157653.

It can be divided in two parts, 201 and 39392, that added together give a palindrome (39593).

The spelling of 20139392 in words is "twenty million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 128 133 152 169 182 196 208 224 247 266 304 338 364 392 416 448 494 532 608 637 676 728 784 832 896 931 988 1064 1183 1216 1274 1352 1456 1568 1664 1729 1862 1976 2128 2366 2432 2548 2704 2912 3136 3211 3458 3724 3952 4256 4732 5096 5408 5824 6272 6422 6916 7448 7904 8281 8512 9464 10192 10816 11648 12103 12844 13832 14896 15808 16562 17024 18928 20384 21632 22477 24206 25688 27664 29792 31616 33124 37856 40768 44954 48412 51376 55328 59584 66248 75712 81536 89908 96824 102752 110656 119168 132496 151424 157339 179816 193648 205504 221312 264992 314678 359632 387296 411008 529984 629356 719264 774592 1059968 1258712 1438528 1549184 2517424 2877056 5034848 10069696 20139392