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54096320 = 265712381
BaseRepresentation
bin1100111001011…
…1000111000000
310202210101012102
43032113013000
5102322040240
65211245532
71224545135
oct316270700
9122711172
1054096320
1128599403
12161498a8
13b290a75
14728258c
154b38815
hex33971c0

54096320 has 56 divisors (see below), whose sum is σ = 130686048. Its totient is φ = 21324800.

The previous prime is 54096283. The next prime is 54096337. The reversal of 54096320 is 2369045.

It is a super-3 number, since 3×540963203 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 21530 + ... + 23910.

Almost surely, 254096320 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 54096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65343024).

54096320 is an abundant number, since it is smaller than the sum of its proper divisors (76589728).

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

54096320 is a wasteful number, since it uses less digits than its factorization.

54096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 54096320 is about 7355.0200543574. The cubic root of 54096320 is about 378.2009140662.

The spelling of 54096320 in words is "fifty-four million, ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2381 2840 4544 4762 5680 9524 11360 11905 19048 22720 23810 38096 47620 76192 95240 152384 169051 190480 338102 380960 676204 761920 845255 1352408 1690510 2704816 3381020 5409632 6762040 10819264 13524080 27048160 54096320