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123432140 = 225134111579
BaseRepresentation
bin1110101101101…
…10110011001100
322121021000001202
413112312303030
5223044312030
620125325032
73026104316
oct726666314
9277230052
10123432140
1163746437
1235406778
131c759190
14125707b6
15ac82745
hex75b6ccc

123432140 has 48 divisors (see below), whose sum is σ = 285979680. Its totient is φ = 44459520.

The previous prime is 123432131. The next prime is 123432143. The reversal of 123432140 is 41234321.

It is a super-3 number, since 3×1234321403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123432143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4871 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (5957910).

Almost surely, 2123432140 is an apocalyptic number.

123432140 is a gapful number since it is divisible by the number (10) 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 123432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142989840).

123432140 is an abundant number, since it is smaller than the sum of its proper divisors (162547540).

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

123432140 is a wasteful number, since it uses less digits than its factorization.

123432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 123432140 is about 11110.0018001799. The cubic root of 123432140 is about 497.9007183686.

Adding to 123432140 its reverse (41234321), we get a palindrome (164666461).

The spelling of 123432140 in words is "one hundred twenty-three million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 11579 23158 46316 57895 115790 150527 231580 301054 474739 602108 752635 949478 1505270 1898956 2373695 3010540 4747390 6171607 9494780 12343214 24686428 30858035 61716070 123432140