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124020414 = 23272933941
BaseRepresentation
bin1110110010001…
…10011010111110
322122100220000200
413121012122332
5223222123124
620150104330
73034104360
oct731063276
9278326020
10124020414
1164008411
123564b0a6
131c903b7b
1412684d30
15ad4bbc9
hex76466be

124020414 has 48 divisors (see below), whose sum is σ = 317697120. Its totient is φ = 34211520.

The previous prime is 124020409. The next prime is 124020431. The reversal of 124020414 is 414020421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13317 + ... + 20624.

It is an arithmetic number, because the mean of its divisors is an integer number (6618690).

Almost surely, 2124020414 is an apocalyptic number.

124020414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

124020414 is an abundant number, since it is smaller than the sum of its proper divisors (193676706).

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

124020414 is a wasteful number, since it uses less digits than its factorization.

124020414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33985 (or 33982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 124020414 is about 11136.4453035967. The cubic root of 124020414 is about 498.6904585299.

Adding to 124020414 its reverse (414020421), we get a palindrome (538040835).

The spelling of 124020414 in words is "one hundred twenty-four million, twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 33941 67882 101823 203646 237587 305469 475174 610938 712761 984289 1425522 1968578 2138283 2952867 4276566 5905734 6890023 8858601 13780046 17717202 20670069 41340138 62010207 124020414