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415063540 = 225101205477
BaseRepresentation
bin11000101111010…
…101110111110100
31001221000102010201
4120233111313310
51322224013130
6105104130244
713166660533
oct3057256764
91057012121
10415063540
111a3324421
12b7006984
1367cb6b38
143d1a631a
152668bbca
hex18bd5df4

415063540 has 24 divisors (see below), whose sum is σ = 880267752. Its totient is φ = 164380800.

The previous prime is 415063513. The next prime is 415063549. The reversal of 415063540 is 45360514.

It can be written as a sum of positive squares in 4 ways, for example, as 225120016 + 189943524 = 15004^2 + 13782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 415063499 and 415063508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415063549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100719 + ... + 104758.

It is an arithmetic number, because the mean of its divisors is an integer number (36677823).

Almost surely, 2415063540 is an apocalyptic number.

It is an amenable number.

415063540 is an abundant number, since it is smaller than the sum of its proper divisors (465204212).

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

415063540 is a wasteful number, since it uses less digits than its factorization.

415063540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205587 (or 205585 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 415063540 is about 20373.1082557375. The cubic root of 415063540 is about 745.9416586901.

The spelling of 415063540 in words is "four hundred fifteen million, sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 205477 410954 821908 1027385 2054770 4109540 20753177 41506354 83012708 103765885 207531770 415063540