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23017120 = 255720551
BaseRepresentation
bin101011111001…
…1011010100000
31121022101112221
41113303122200
521343021440
62141200424
7366433210
oct127633240
947271487
1023017120
1111aa1115
127860114
1349cb7c9
1430b2240
152049d4a
hex15f36a0

23017120 has 48 divisors (see below), whose sum is σ = 62149248. Its totient is φ = 7891200.

The previous prime is 23017103. The next prime is 23017147. The reversal of 23017120 is 2171032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23017094 and 23017103.

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 7 ways as a sum of consecutive naturals, for example, 9156 + ... + 11395.

It is an arithmetic number, because the mean of its divisors is an integer number (1294776).

Almost surely, 223017120 is an apocalyptic number.

23017120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23017120 is an abundant number, since it is smaller than the sum of its proper divisors (39132128).

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

23017120 is a wasteful number, since it uses less digits than its factorization.

23017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20573 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 23017120 is about 4797.6160746771. The cubic root of 23017120 is about 284.4572413586.

Adding to 23017120 its reverse (2171032), we get a palindrome (25188152).

The spelling of 23017120 in words is "twenty-three million, seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 20551 41102 82204 102755 143857 164408 205510 287714 328816 411020 575428 657632 719285 822040 1150856 1438570 1644080 2301712 2877140 3288160 4603424 5754280 11508560 23017120