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20058272 = 251323709
BaseRepresentation
bin100110010000…
…1000010100000
31101202001202222
41030201002200
520113331042
61553530212
7332330633
oct114410240
941661688
1020058272
1110360093
126873968
134203b00
142941c1a
151b632d2
hex13210a0

20058272 has 36 divisors (see below), whose sum is σ = 42772590. Its totient is φ = 9255168.

The previous prime is 20058263. The next prime is 20058287. The reversal of 20058272 is 27285002.

It can be written as a sum of positive squares in 3 ways, for example, as 7639696 + 12418576 = 2764^2 + 3524^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3554 + ... + 7262.

Almost surely, 220058272 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 20058272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386295).

20058272 is an abundant number, since it is smaller than the sum of its proper divisors (22714318).

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

20058272 is a wasteful number, since it uses less digits than its factorization.

20058272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 20058272 is about 4478.6462240280. The cubic root of 20058272 is about 271.7051302802.

The spelling of 20058272 in words is "twenty million, fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3709 5408 7418 14836 29672 48217 59344 96434 118688 192868 385736 626821 771472 1253642 1542944 2507284 5014568 10029136 20058272