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1361893632 = 28311374357
BaseRepresentation
bin101000100101100…
…1101100100000000
310111220122100211220
41101023031210000
510242121044012
6343050035040
745514622241
oct12113154400
93456570756
101361893632
11639831930
12320118a80
131891c8b28
14ccc32cc8
157e86908c
hex512cd900

1361893632 has 144 divisors (see below), whose sum is σ = 4061934912. Its totient is φ = 401448960.

The previous prime is 1361893627. The next prime is 1361893639. The reversal of 1361893632 is 2363981631.

It is not an unprimeable number, because it can be changed into a prime (1361893639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310398 + ... + 314754.

Almost surely, 21361893632 is an apocalyptic number.

1361893632 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 1361893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030967456).

1361893632 is an abundant number, since it is smaller than the sum of its proper divisors (2700041280).

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

1361893632 is a wasteful number, since it uses less digits than its factorization.

1361893632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4410 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 1361893632 is about 36903.8430519099. The cubic root of 1361893632 is about 1108.4456321938.

The spelling of 1361893632 in words is "one billion, three hundred sixty-one million, eight hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4357 4736 4884 6512 7104 8448 8714 9472 9768 13024 13071 14208 17428 19536 26048 26142 28416 34856 39072 47927 52096 52284 69712 78144 95854 104192 104568 139424 143781 156288 161209 191708 209136 278848 287562 312576 322418 383416 418272 483627 557696 575124 644836 766832 836544 967254 1115392 1150248 1289672 1533664 1673088 1773299 1934508 2300496 2579344 3067328 3346176 3546598 3869016 4600992 5158688 5319897 6134656 7093196 7738032 9201984 10317376 10639794 12269312 14186392 15476064 18403968 20634752 21279588 28372784 30952128 36807936 41269504 42559176 56745568 61904256 85118352 113491136 123808512 170236704 226982272 340473408 453964544 680946816 1361893632