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123414140 = 22529389547
BaseRepresentation
bin1110101101100…
…10011001111100
322121020002101002
413112302121330
5223043223030
620125105432
73026000663
oct726623174
9277202332
10123414140
1163733963
12353b8278
131c750c25
1412567dda
15ac7c245
hex75b267c

123414140 has 48 divisors (see below), whose sum is σ = 269287200. Its totient is φ = 47453952.

The previous prime is 123414133. The next prime is 123414143. The reversal of 123414140 is 41414321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123414143) 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, 225347 + ... + 225893.

It is an arithmetic number, because the mean of its divisors is an integer number (5610150).

Almost surely, 2123414140 is an apocalyptic number.

123414140 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 123414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134643600).

123414140 is an abundant number, since it is smaller than the sum of its proper divisors (145873060).

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

123414140 is a wasteful number, since it uses less digits than its factorization.

123414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 123414140 is about 11109.1916897675. The cubic root of 123414140 is about 497.8765143846.

Adding to 123414140 its reverse (41414321), we get a palindrome (164828461).

The spelling of 123414140 in words is "one hundred twenty-three million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 389 547 580 778 1094 1556 1945 2188 2735 3890 5470 7780 10940 11281 15863 22562 31726 45124 56405 63452 79315 112810 158630 212783 225620 317260 425566 851132 1063915 2127830 4255660 6170707 12341414 24682828 30853535 61707070 123414140