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23008080 = 2435372591
BaseRepresentation
bin101011111000…
…1001101010000
31121021221011010
41113301031100
521342224310
62141050520
7366364644
oct127611520
947257133
1023008080
1111a95347
127856a40
1349c7664
1430acc24
152047320
hex15f1350

23008080 has 80 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 5967360.

The previous prime is 23008057. The next prime is 23008081. The reversal of 23008080 is 8080032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008081) 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, 7585 + ... + 10175.

Almost surely, 223008080 is an apocalyptic number.

23008080 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 23008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

23008080 is an abundant number, since it is smaller than the sum of its proper divisors (50272944).

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

23008080 is a wasteful number, since it uses less digits than its factorization.

23008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23008080 is about 4796.6738475740. The cubic root of 23008080 is about 284.4199961807.

The spelling of 23008080 in words is "twenty-three million, eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2591 2960 4440 5182 7773 8880 10364 12955 15546 20728 25910 31092 38865 41456 51820 62184 77730 95867 103640 124368 155460 191734 207280 287601 310920 383468 479335 575202 621840 766936 958670 1150404 1438005 1533872 1917340 2300808 2876010 3834680 4601616 5752020 7669360 11504040 23008080