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23139360 = 2532516069
BaseRepresentation
bin101100001000…
…1010000100000
31121112121020100
41120101100200
521410424420
62143542400
7400452456
oct130212040
947477210
1023139360
1112074a42
1278baa00
134a4233a
1431049d6
152071190
hex1611420

23139360 has 72 divisors (see below), whose sum is σ = 78967980. Its totient is φ = 6170112.

The previous prime is 23139307. The next prime is 23139367. The reversal of 23139360 is 6393132.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 898704 = 4716^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23139367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6595 + ... + 9474.

Almost surely, 223139360 is an apocalyptic number.

23139360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23139360 is an abundant number, since it is smaller than the sum of its proper divisors (55828620).

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

23139360 is a wasteful number, since it uses less digits than its factorization.

23139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 23139360 is about 4810.3388654023. The cubic root of 23139360 is about 284.9599204950.

The spelling of 23139360 in words is "twenty-three million, one hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16069 32138 48207 64276 80345 96414 128552 144621 160690 192828 241035 257104 289242 321380 385656 482070 514208 578484 642760 723105 771312 964140 1156968 1285520 1446210 1542624 1928280 2313936 2571040 2892420 3856560 4627872 5784840 7713120 11569680 23139360