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123420440 = 235111321577
BaseRepresentation
bin1110101101100…
…11111100011000
322121020102000102
413112303330120
5223043423230
620125154532
73026025233
oct726637430
9277212012
10123420440
1163738670
12353bba48
131c753a60
141256a41a
15ac7e045
hex75b3f18

123420440 has 64 divisors (see below), whose sum is σ = 326259360. Its totient is φ = 41425920.

The previous prime is 123420439. The next prime is 123420469. The reversal of 123420440 is 44024321.

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

It is a congruent number.

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, 5069 + ... + 16508.

Almost surely, 2123420440 is an apocalyptic number.

123420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123420440 is an abundant number, since it is smaller than the sum of its proper divisors (202838920).

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

123420440 is a wasteful number, since it uses less digits than its factorization.

123420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 123420440 is about 11109.4752351315. The cubic root of 123420440 is about 497.8849860467.

Adding to 123420440 its reverse (44024321), we get a palindrome (167444761).

The spelling of 123420440 in words is "one hundred twenty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 21577 43154 86308 107885 172616 215770 237347 280501 431540 474694 561002 863080 949388 1122004 1186735 1402505 1898776 2244008 2373470 2805010 3085511 4746940 5610020 6171022 9493880 11220040 12342044 15427555 24684088 30855110 61710220 123420440