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1381580496 = 243313124413
BaseRepresentation
bin101001001011001…
…0011111011010000
310120021200120011000
41102112103323100
510312141033441
6345032022000
746144145322
oct12226237320
93507616130
101381580496
1164995896a
12326831900
131902cc86a
14d16b9612
15814572b6
hex52593ed0

1381580496 has 80 divisors (see below), whose sum is σ = 3996083520. Its totient is φ = 456992640.

The previous prime is 1381580483. The next prime is 1381580507. The reversal of 1381580496 is 6940851831.

1381580496 is a `hidden beast` number, since 1 + 3 + 8 + 158 + 0 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44386 + ... + 68798.

It is an arithmetic number, because the mean of its divisors is an integer number (49951044).

Almost surely, 21381580496 is an apocalyptic number.

1381580496 is a gapful number since it is divisible by the number (16) 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 1381580496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998041760).

1381580496 is an abundant number, since it is smaller than the sum of its proper divisors (2614503024).

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

1381580496 is a wasteful number, since it uses less digits than its factorization.

1381580496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24561 (or 24549 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1381580496 is about 37169.6179157118. The cubic root of 1381580496 is about 1113.7611492042.

The spelling of 1381580496 in words is "one billion, three hundred eighty-one million, five hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 24413 28296 48826 56592 73239 97652 146478 195304 219717 292956 390608 439434 585912 659151 878868 1171824 1318302 1757736 2636604 3198103 3515472 5273208 6396206 9594309 10546416 12792412 19188618 25584824 28782927 38377236 51169648 57565854 76754472 86348781 115131708 153508944 172697562 230263416 345395124 460526832 690790248 1381580496