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23872380 = 22357113503
BaseRepresentation
bin101101100010…
…0001101111100
31122220211202020
41123010031330
522102404010
62211400140
7406624530
oct133041574
948824666
1023872380
1112525744
127bb3050
134c3ab8c
143255bc0
152168470
hex16c437c

23872380 has 96 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 5397504.

The previous prime is 23872361. The next prime is 23872391. The reversal of 23872380 is 8327832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47209 + ... + 47711.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 223872380 is an apocalyptic number.

23872380 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 23872380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

23872380 is an abundant number, since it is smaller than the sum of its proper divisors (53348484).

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

23872380 is a wasteful number, since it uses less digits than its factorization.

23872380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 23872380 is about 4885.9369623441. The cubic root of 23872380 is about 287.9377276628.

The spelling of 23872380 in words is "twenty-three million, eight hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 503 565 678 791 1006 1130 1356 1509 1582 1695 2012 2260 2373 2515 3018 3164 3390 3521 3955 4746 5030 6036 6780 7042 7545 7910 9492 10060 10563 11865 14084 15090 15820 17605 21126 23730 30180 35210 42252 47460 52815 56839 70420 105630 113678 170517 211260 227356 284195 341034 397873 568390 682068 795746 852585 1136780 1193619 1591492 1705170 1989365 2387238 3410340 3978730 4774476 5968095 7957460 11936190 23872380