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23748640 = 255148429
BaseRepresentation
bin101101010011…
…0000000100000
31122200120000021
41122212000200
522034424030
62205003224
7405601006
oct132460040
948616007
1023748640
1112450783
127b53514
134bc6766
143222a76
15214197a
hex16a6020

23748640 has 24 divisors (see below), whose sum is σ = 56106540. Its totient is φ = 9499392.

The previous prime is 23748631. The next prime is 23748649. The reversal of 23748640 is 4684732.

It is an interprime number because it is at equal distance from previous prime (23748631) and next prime (23748649).

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 1507984 = 4716^2 + 1228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23748596 and 23748605.

It is not an unprimeable number, because it can be changed into a prime (23748649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74055 + ... + 74374.

Almost surely, 223748640 is an apocalyptic number.

23748640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23748640 is an abundant number, since it is smaller than the sum of its proper divisors (32357900).

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

23748640 is a wasteful number, since it uses less digits than its factorization.

23748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148444 (or 148436 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 23748640 is about 4873.2576373510. The cubic root of 23748640 is about 287.4393671758.

The spelling of 23748640 in words is "twenty-three million, seven hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 148429 296858 593716 742145 1187432 1484290 2374864 2968580 4749728 5937160 11874320 23748640