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20231904 = 25372111723
BaseRepresentation
bin100110100101…
…1011011100000
31102001212221210
41031023123200
520134410104
62001350120
7333653100
oct115133340
942055853
1020231904
1110469590
126938340
134264b54
142989200
151b99989
hex134b6e0

20231904 has 288 divisors, whose sum is σ = 74462976. Its totient is φ = 4730880.

The previous prime is 20231873. The next prime is 20231909. The reversal of 20231904 is 40913202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879637 + ... + 879659.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 220231904 is an apocalyptic number.

20231904 is a gapful number since it is divisible by the number (24) 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 20231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

20231904 is an abundant number, since it is smaller than the sum of its proper divisors (54231072).

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

20231904 is a wasteful number, since it uses less digits than its factorization.

20231904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20231904 is about 4497.9888839347. The cubic root of 20231904 is about 272.4868730876.

The spelling of 20231904 in words is "twenty million, two hundred thirty-one thousand, nine hundred four".