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23139120 = 2435671439
BaseRepresentation
bin101100001000…
…1001100110000
31121112120220110
41120101030300
521410422440
62143541320
7400451664
oct130211460
947476813
1023139120
1112074844
1278ba840
134a421b4
1431048a4
152071080
hex1611330

23139120 has 80 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 6074112.

The previous prime is 23139119. The next prime is 23139121. The reversal of 23139120 is 2193132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23139119) and next prime (23139121).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23139121) 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, 15361 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 223139120 is an apocalyptic number.

23139120 is a gapful number since it is divisible by the number (20) 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 23139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

23139120 is an abundant number, since it is smaller than the sum of its proper divisors (49713360).

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

23139120 is a wasteful number, since it uses less digits than its factorization.

23139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 23139120 is about 4810.3139190701. The cubic root of 23139120 is about 284.9589352961.

The spelling of 23139120 in words is "twenty-three million, one hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1439 1608 2010 2680 2878 3216 4020 4317 5360 5756 7195 8040 8634 11512 14390 16080 17268 21585 23024 28780 34536 43170 57560 69072 86340 96413 115120 172680 192826 289239 345360 385652 482065 578478 771304 964130 1156956 1446195 1542608 1928260 2313912 2892390 3856520 4627824 5784780 7713040 11569560 23139120