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123213264 = 2436533931
BaseRepresentation
bin1110101100000…
…01010111010000
322120211212211020
413112001113100
5223020311024
620120515440
73024203226
oct726012720
9276755736
10123213264
1163606a49
123531bb80
131c6b0675
1412514b16
15ac3c979
hex75815d0

123213264 has 40 divisors (see below), whose sum is σ = 318869472. Its totient is φ = 40997760.

The previous prime is 123213247. The next prime is 123213281. The reversal of 123213264 is 462312321.

It is an interprime number because it is at equal distance from previous prime (123213247) and next prime (123213281).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29379 + ... + 33309.

Almost surely, 2123213264 is an apocalyptic number.

It is an amenable number.

123213264 is an abundant number, since it is smaller than the sum of its proper divisors (195656208).

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

123213264 is a wasteful number, since it uses less digits than its factorization.

123213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4589 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 123213264 is about 11100.1470260533. The cubic root of 123213264 is about 497.6062434813.

Adding to 123213264 its reverse (462312321), we get a palindrome (585525585).

The spelling of 123213264 in words is "one hundred twenty-three million, two hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 653 1306 1959 2612 3918 3931 5224 7836 7862 10448 11793 15672 15724 23586 31344 31448 47172 62896 94344 188688 2566943 5133886 7700829 10267772 15401658 20535544 30803316 41071088 61606632 123213264