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123932020 = 22543532719
BaseRepresentation
bin1110110001100…
…00110101110100
322122012101202211
413120300311310
5223211311040
620144143204
73033255562
oct730606564
9278171684
10123932020
1163a57a63
1235607b04
131c8a2874
1412660a32
15ad308ea
hex7630d74

123932020 has 48 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 47488896.

The previous prime is 123932009. The next prime is 123932021. The reversal of 123932020 is 20239321.

It is a junction number, because it is equal to n+sod(n) for n = 123931982 and 123932000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123932021) 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, 44221 + ... + 46939.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2123932020 is an apocalyptic number.

123932020 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 123932020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

123932020 is an abundant number, since it is smaller than the sum of its proper divisors (147502220).

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

123932020 is a wasteful number, since it uses less digits than its factorization.

123932020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 123932020 is about 11132.4759150874. The cubic root of 123932020 is about 498.5719519070.

The spelling of 123932020 in words is "one hundred twenty-three million, nine hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 2719 4558 5438 9116 10876 11395 13595 22790 27190 45580 54380 116917 144107 233834 288214 467668 576428 584585 720535 1169170 1441070 2338340 2882140 6196601 12393202 24786404 30983005 61966010 123932020