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1356781640 = 2351912714057
BaseRepresentation
bin101000011011110…
…1101100001001000
310111120000122111212
41100313231201020
510234314003030
6342344312252
745423311414
oct12067554110
93446018455
101356781640
11636960145
1231a472688
13188129096
14cc2a1d44
157e1a9595
hex50ded848

1356781640 has 64 divisors (see below), whose sum is σ = 3238963200. Its totient is φ = 510064128.

The previous prime is 1356781627. The next prime is 1356781649. The reversal of 1356781640 is 461876531.

It is not an unprimeable number, because it can be changed into a prime (1356781649) 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, 89492 + ... + 103548.

It is an arithmetic number, because the mean of its divisors is an integer number (50608800).

Almost surely, 21356781640 is an apocalyptic number.

1356781640 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 1356781640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619481600).

1356781640 is an abundant number, since it is smaller than the sum of its proper divisors (1882181560).

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

1356781640 is a wasteful number, since it uses less digits than its factorization.

1356781640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1356781640 is about 36834.5169643909. The cubic root of 1356781640 is about 1107.0570093646.

The spelling of 1356781640 in words is "one billion, three hundred fifty-six million, seven hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 127 152 190 254 380 508 635 760 1016 1270 2413 2540 4826 5080 9652 12065 14057 19304 24130 28114 48260 56228 70285 96520 112456 140570 267083 281140 534166 562280 1068332 1335415 1785239 2136664 2670830 3570478 5341660 7140956 8926195 10683320 14281912 17852390 33919541 35704780 67839082 71409560 135678164 169597705 271356328 339195410 678390820 1356781640