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23263940 = 22571071553
BaseRepresentation
bin101100010111…
…1101011000100
31121202221010102
41120233223010
521423421230
62150343232
7401511620
oct130575304
947687112
1023263940
111214a5a7
12795ab18
134a86c5b
143138180
152098045
hex162fac4

23263940 has 48 divisors (see below), whose sum is σ = 56391552. Its totient is φ = 7896576.

The previous prime is 23263913. The next prime is 23263943. The reversal of 23263940 is 4936232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23263943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14204 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 223263940 is an apocalyptic number.

23263940 is a gapful number since it is divisible by the number (20) 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 23263940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195776).

23263940 is an abundant number, since it is smaller than the sum of its proper divisors (33127612).

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

23263940 is a wasteful number, since it uses less digits than its factorization.

23263940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 23263940 is about 4823.2706745527. The cubic root of 23263940 is about 285.4704040281.

The spelling of 23263940 in words is "twenty-three million, two hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 1553 2140 2996 3106 3745 6212 7490 7765 10871 14980 15530 21742 31060 43484 54355 108710 166171 217420 332342 664684 830855 1163197 1661710 2326394 3323420 4652788 5815985 11631970 23263940