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20393472 = 293111771
BaseRepresentation
bin100110111001…
…0111000000000
31102101002120210
41031302320000
520210042342
62005034120
7335225121
oct115627000
942332523
1020393472
1110569a10
1269b5940
1342c0558
1429cc048
151bcc79c
hex1372e00

20393472 has 160 divisors (see below), whose sum is σ = 63638784. Its totient is φ = 5734400.

The previous prime is 20393447. The next prime is 20393473. The reversal of 20393472 is 27439302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287197 + ... + 287267.

Almost surely, 220393472 is an apocalyptic number.

20393472 is a gapful number since it is divisible by the number (22) 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 20393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819392).

20393472 is an abundant number, since it is smaller than the sum of its proper divisors (43245312).

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

20393472 is a wasteful number, since it uses less digits than its factorization.

20393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 20393472 is about 4515.9131966857. The cubic root of 20393472 is about 273.2102929596.

The spelling of 20393472 in words is "twenty million, three hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 71 88 96 102 128 132 136 142 176 187 192 204 213 256 264 272 284 352 374 384 408 426 512 528 544 561 568 704 748 768 781 816 852 1056 1088 1122 1136 1207 1408 1496 1536 1562 1632 1704 2112 2176 2244 2272 2343 2414 2816 2992 3124 3264 3408 3621 4224 4352 4488 4544 4686 4828 5632 5984 6248 6528 6816 7242 8448 8704 8976 9088 9372 9656 11968 12496 13056 13277 13632 14484 16896 17952 18176 18744 19312 23936 24992 26112 26554 27264 28968 35904 36352 37488 38624 39831 47872 49984 53108 54528 57936 71808 74976 77248 79662 95744 99968 106216 109056 115872 143616 149952 154496 159324 199936 212432 231744 287232 299904 308992 318648 399872 424864 463488 599808 617984 637296 849728 926976 1199616 1274592 1699456 1853952 2549184 3398912 5098368 6797824 10196736 20393472