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23023080 = 23325312063
BaseRepresentation
bin101011111010…
…0110111101000
31121022200201200
41113310313220
521343214310
62141244200
7366456453
oct127646750
947280650
1023023080
1111aa5643
127863660
134a01432
1430b449a
15204b9c0
hex15f4de8

23023080 has 96 divisors (see below), whose sum is σ = 77276160. Its totient is φ = 5938560.

The previous prime is 23023073. The next prime is 23023081. The reversal of 23023080 is 8032032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23023081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10129 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (804960).

Almost surely, 223023080 is an apocalyptic number.

23023080 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 23023080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38638080).

23023080 is an abundant number, since it is smaller than the sum of its proper divisors (54253080).

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

23023080 is a wasteful number, since it uses less digits than its factorization.

23023080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23023080 is about 4798.2371762971. The cubic root of 23023080 is about 284.4817914739.

The spelling of 23023080 in words is "twenty-three million, twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2063 2232 2790 3720 4126 5580 6189 8252 10315 11160 12378 16504 18567 20630 24756 30945 37134 41260 49512 61890 63953 74268 82520 92835 123780 127906 148536 185670 191859 247560 255812 319765 371340 383718 511624 575577 639530 742680 767436 959295 1151154 1279060 1534872 1918590 2302308 2558120 2877885 3837180 4604616 5755770 7674360 11511540 23023080