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124560020 = 225131728181
BaseRepresentation
bin1110110110010…
…10001010010100
322200101022020002
413123022022110
5223341410040
620205430432
73041512514
oct733121224
9280338202
10124560020
1164346872
123586b418
131ca62670
1412785844
15ae06a15
hex76ca294

124560020 has 48 divisors (see below), whose sum is σ = 298278288. Its totient is φ = 43284480.

The previous prime is 124559983. The next prime is 124560043. The reversal of 124560020 is 20065421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1926544 + 122633476 = 1388^2 + 11074^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 124559974 and 124560001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9671 + ... + 18510.

It is an arithmetic number, because the mean of its divisors is an integer number (6214131).

Almost surely, 2124560020 is an apocalyptic number.

124560020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124560020 is an abundant number, since it is smaller than the sum of its proper divisors (173718268).

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

124560020 is a wasteful number, since it uses less digits than its factorization.

124560020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28220 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 124560020 is about 11160.6460386485. The cubic root of 124560020 is about 499.4126703579.

The spelling of 124560020 in words is "one hundred twenty-four million, five hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 28181 56362 112724 140905 281810 366353 479077 563620 732706 958154 1465412 1831765 1916308 2395385 3663530 4790770 6228001 7327060 9581540 12456002 24912004 31140005 62280010 124560020