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120464020 = 22561293337
BaseRepresentation
bin1110010111000…
…10001010010100
322101200012120101
413023202022110
5221314322040
615541543444
72661633025
oct713421224
9271605511
10120464020
1161aa9446
1234414b84
131bc5a1b1
1411ddac4c
15a89809a
hex72e2294

120464020 has 48 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 47093760.

The previous prime is 120464011. The next prime is 120464033. The reversal of 120464020 is 20464021.

It can be written as a sum of positive squares in 8 ways, for example, as 5588496 + 114875524 = 2364^2 + 10718^2 .

It is a super-2 number, since 2×1204640202 = 29023160229120800, which contains 22 as substring.

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, 357292 + ... + 357628.

It is an arithmetic number, because the mean of its divisors is an integer number (5390931).

Almost surely, 2120464020 is an apocalyptic number.

120464020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120464020 is an abundant number, since it is smaller than the sum of its proper divisors (138300668).

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

120464020 is a wasteful number, since it uses less digits than its factorization.

120464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 120464020 is about 10975.6102336043. The cubic root of 120464020 is about 493.8773592304.

Subtracting from 120464020 its reverse (20464021), we obtain a palindrome (99999999).

The spelling of 120464020 in words is "one hundred twenty million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 293 305 337 586 610 674 1172 1220 1348 1465 1685 2930 3370 5860 6740 17873 20557 35746 41114 71492 82228 89365 98741 102785 178730 197482 205570 357460 394964 411140 493705 987410 1974820 6023201 12046402 24092804 30116005 60232010 120464020