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23045120 = 21057643
BaseRepresentation
bin101011111101…
…0010000000000
31121100210221222
41113322100000
521344420440
62141534212
7366610640
oct127722000
947323858
1023045120
111201015a
127874368
134a0b487
1430bc520
1520532b5
hex15fa400

23045120 has 88 divisors (see below), whose sum is σ = 63276864. Its totient is φ = 7888896.

The previous prime is 23045051. The next prime is 23045131. The reversal of 23045120 is 2154032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35519 + ... + 36161.

Almost surely, 223045120 is an apocalyptic number.

23045120 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 23045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638432).

23045120 is an abundant number, since it is smaller than the sum of its proper divisors (40231744).

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

23045120 is an equidigital number, since it uses as much as digits as its factorization.

23045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 23045120 is about 4800.5333037070. The cubic root of 23045120 is about 284.5725406843.

Adding to 23045120 its reverse (2154032), we get a palindrome (25199152).

The spelling of 23045120 in words is "twenty-three million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 643 896 1024 1120 1280 1286 1792 2240 2560 2572 3215 3584 4480 4501 5120 5144 6430 7168 8960 9002 10288 12860 17920 18004 20576 22505 25720 35840 36008 41152 45010 51440 72016 82304 90020 102880 144032 164608 180040 205760 288064 329216 360080 411520 576128 658432 720160 823040 1152256 1440320 1646080 2304512 2880640 3292160 4609024 5761280 11522560 23045120