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1356107640 = 233519159167
BaseRepresentation
bin101000011010100…
…1000111101111000
310111111202101221220
41100311020331320
510234130421030
6342322032040
745414503406
oct12065107570
93444671856
101356107640
1163653a818
1231a1a8620
13187c51374
14cc168476
157e0c4a10
hex50d48f78

1356107640 has 64 divisors (see below), whose sum is σ = 4089692160. Its totient is φ = 359729280.

The previous prime is 1356107639. The next prime is 1356107647. The reversal of 1356107640 is 467016531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356107647) 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, 6664 + ... + 52503.

It is an arithmetic number, because the mean of its divisors is an integer number (63901440).

Almost surely, 21356107640 is an apocalyptic number.

1356107640 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 1356107640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044846080).

1356107640 is an abundant number, since it is smaller than the sum of its proper divisors (2733584520).

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

1356107640 is a wasteful number, since it uses less digits than its factorization.

1356107640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59372 (or 59368 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1356107640 is about 36825.3668006172. The cubic root of 1356107640 is about 1106.8736637200.

The spelling of 1356107640 in words is "one billion, three hundred fifty-six million, one hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 59167 118334 177501 236668 295835 355002 473336 591670 710004 887505 1183340 1420008 1775010 2366680 3550020 7100040 11300897 22601794 33902691 45203588 56504485 67805382 90407176 113008970 135610764 169513455 226017940 271221528 339026910 452035880 678053820 1356107640