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1380140352 = 2632532853
BaseRepresentation
bin101001001000011…
…0100010101000000
310120011222101122100
41102100310111000
510311303442402
6344541110400
746125666543
oct12220642500
93504871570
101380140352
11649064968
12326258400
1318cc171c6
14d142285a
158127071c
hex52434540

1380140352 has 126 divisors (see below), whose sum is σ = 4036698302. Its totient is φ = 450837504.

The previous prime is 1380140339. The next prime is 1380140353. The reversal of 1380140352 is 2530410831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 162409536 + 1217730816 = 12744^2 + 34896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380140353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1617558 + ... + 1618410.

Almost surely, 21380140352 is an apocalyptic number.

1380140352 is a gapful number since it is divisible by the number (12) 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 1380140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018349151).

1380140352 is an abundant number, since it is smaller than the sum of its proper divisors (2656557950).

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

1380140352 is an equidigital number, since it uses as much as digits as its factorization.

1380140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1380140352 is about 37150.2402684020. The cubic root of 1380140352 is about 1113.3740239549.

The spelling of 1380140352 in words is "one billion, three hundred eighty million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 853 954 1272 1696 1706 1908 2544 2559 2809 3392 3412 3816 5088 5118 5618 6824 7632 7677 8427 10176 10236 11236 13648 15264 15354 16854 20472 22472 25281 27296 30528 30708 33708 40944 44944 45209 50562 54592 61416 67416 81888 89888 90418 101124 122832 134832 135627 163776 179776 180836 202248 245664 269664 271254 361672 404496 406881 491328 539328 542508 723344 808992 813762 1085016 1446688 1617984 1627524 2170032 2396077 2893376 3255048 4340064 4792154 6510096 7188231 8680128 9584308 13020192 14376462 19168616 21564693 26040384 28752924 38337232 43129386 57505848 76674464 86258772 115011696 153348928 172517544 230023392 345035088 460046784 690070176 1380140352