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20057312 = 2511192999
BaseRepresentation
bin100110010000…
…0110011100000
31101202000110102
41030200303200
520113313222
61553521532
7332325062
oct114406340
941660412
1020057312
111035a3a0
1268732a8
134203542
142941732
151b62d92
hex1320ce0

20057312 has 48 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 8634240.

The previous prime is 20057291. The next prime is 20057347. The reversal of 20057312 is 21375002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5189 + ... + 8187.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 220057312 is an apocalyptic number.

20057312 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 20057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20057312 is an abundant number, since it is smaller than the sum of its proper divisors (25302688).

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

20057312 is a wasteful number, since it uses less digits than its factorization.

20057312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 20057312 is about 4478.5390475020. The cubic root of 20057312 is about 271.7007955584.

The spelling of 20057312 in words is "twenty million, fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 2999 3344 5998 6688 11996 23992 32989 47984 56981 65978 95968 113962 131956 227924 263912 455848 527824 626791 911696 1055648 1253582 1823392 2507164 5014328 10028656 20057312