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23820648 = 23331101317
BaseRepresentation
bin101101011011…
…1100101101000
31122211012210020
41122313211220
522044230043
62210320440
7406320645
oct132674550
948735706
1023820648
111249a895
127b89120
134c20477
143240dcc
152157e83
hex16b7968

23820648 has 64 divisors (see below), whose sum is σ = 62277120. Its totient is φ = 7584000.

The previous prime is 23820619. The next prime is 23820659. The reversal of 23820648 is 84602832.

It is a super-2 number, since 2×238206482 = 1134846542279808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74986 + ... + 75302.

It is an arithmetic number, because the mean of its divisors is an integer number (973080).

Almost surely, 223820648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23820648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138560).

23820648 is an abundant number, since it is smaller than the sum of its proper divisors (38456472).

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

23820648 is a wasteful number, since it uses less digits than its factorization.

23820648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 23820648 is about 4880.6401219512. The cubic root of 23820648 is about 287.7295880024.

The spelling of 23820648 in words is "twenty-three million, eight hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 317 372 404 606 634 744 808 951 1212 1268 1902 2424 2536 3131 3804 6262 7608 9393 9827 12524 18786 19654 25048 29481 32017 37572 39308 58962 64034 75144 78616 96051 117924 128068 192102 235848 256136 384204 768408 992527 1985054 2977581 3970108 5955162 7940216 11910324 23820648