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23880420 = 2234514741
BaseRepresentation
bin101101100011…
…0001011100100
31122221020210000
41123012023210
522103133140
62211501300
7406660134
oct133061344
948836700
1023880420
1112530793
127bb7830
134c41735
143258ac4
15216aa30
hex16c62e4

23880420 has 60 divisors (see below), whose sum is σ = 74918844. Its totient is φ = 6367680.

The previous prime is 23880419. The next prime is 23880421. The reversal of 23880420 is 2408832.

23880420 is a `hidden beast` number, since 238 + 8 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (23880419) and next prime (23880421).

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 6441444 = 4176^2 + 2538^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23880421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5751 + ... + 8990.

Almost surely, 223880420 is an apocalyptic number.

23880420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23880420 is an abundant number, since it is smaller than the sum of its proper divisors (51038424).

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

23880420 is a wasteful number, since it uses less digits than its factorization.

23880420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23880420 is about 4886.7596625985. The cubic root of 23880420 is about 287.9700489686.

The spelling of 23880420 in words is "twenty-three million, eight hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14741 29482 44223 58964 73705 88446 132669 147410 176892 221115 265338 294820 398007 442230 530676 663345 796014 884460 1194021 1326690 1592028 1990035 2388042 2653380 3980070 4776084 5970105 7960140 11940210 23880420