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1415165136 = 24371117101223
BaseRepresentation
bin101010001011001…
…1011010011010000
310122121212211121120
41110112123103100
510344240241021
6352231522240
750032463610
oct12426332320
93577784546
101415165136
11666907570
12335b29380
1319725b328
14d5d3ca40
158438d2c6
hex5459b4d0

1415165136 has 320 divisors, whose sum is σ = 4895686656. Its totient is φ = 340992000.

The previous prime is 1415165123. The next prime is 1415165173. The reversal of 1415165136 is 6315615141.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1415165097 and 1415165106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6345921 + ... + 6346143.

Almost surely, 21415165136 is an apocalyptic number.

1415165136 is a gapful number since it is divisible by the number (16) 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 1415165136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447843328).

1415165136 is an abundant number, since it is smaller than the sum of its proper divisors (3480521520).

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

1415165136 is a wasteful number, since it uses less digits than its factorization.

1415165136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 1415165136 is about 37618.6806786203. The cubic root of 1415165136 is about 1122.7137466943.

The spelling of 1415165136 in words is "one billion, four hundred fifteen million, one hundred sixty-five thousand, one hundred thirty-six".