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1381219632 = 2432133123801
BaseRepresentation
bin101001001010011…
…1011110100110000
310120021000020010200
41102110323310300
510312043012012
6345020155200
746141113252
oct12224736460
93507006120
101381219632
11649731831
12326698b00
13190204530
14d1623cd2
15813d53dc
hex5253bd30

1381219632 has 120 divisors (see below), whose sum is σ = 4297308288. Its totient is φ = 411264000.

The previous prime is 1381219613. The next prime is 1381219633. The reversal of 1381219632 is 2369121831.

1381219632 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 2 + 19 + 632 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1381219633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46132 + ... + 69932.

Almost surely, 21381219632 is an apocalyptic number.

1381219632 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 1381219632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148654144).

1381219632 is an abundant number, since it is smaller than the sum of its proper divisors (2916088656).

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

1381219632 is a wasteful number, since it uses less digits than its factorization.

1381219632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23859 (or 23850 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1381219632 is about 37164.7633115025. The cubic root of 1381219632 is about 1113.6641705862.

The spelling of 1381219632 in words is "one billion, three hundred eighty-one million, two hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 23801 29016 47602 58032 71403 95204 142806 190408 214209 285612 309413 380816 428418 571224 618826 737831 856836 928239 1142448 1237652 1475662 1713672 1856478 2213493 2475304 2784717 2951324 3427344 3712956 4426986 4950608 5569434 5902648 6640479 7425912 8853972 9591803 11138868 11805296 13280958 14851824 17707944 19183606 22277736 26561916 28775409 35415888 38367212 44555472 53123832 57550818 76734424 86326227 106247664 115101636 153468848 172652454 230203272 345304908 460406544 690609816 1381219632