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1081130976 = 25341732411
BaseRepresentation
bin100000001110000…
…1011111111100000
32210100100010220000
41000130023333200
54203232142401
6255140220000
735535314232
oct10034137740
92710303800
101081130976
115052a7782
1226209a600
13142ca5293
14a382a252
1564daa186
hex4070bfe0

1081130976 has 120 divisors (see below), whose sum is σ = 3199281624. Its totient is φ = 358145280.

The previous prime is 1081130969. The next prime is 1081130977. The reversal of 1081130976 is 6790311801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1081130976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081130977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 447211 + ... + 449621.

Almost surely, 21081130976 is an apocalyptic number.

1081130976 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 1081130976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599640812).

1081130976 is an abundant number, since it is smaller than the sum of its proper divisors (2118150648).

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

1081130976 is a wasteful number, since it uses less digits than its factorization.

1081130976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1081130976 is about 32880.5561996752. The cubic root of 1081130976 is about 1026.3435804272.

The spelling of 1081130976 in words is "one billion, eighty-one million, one hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 173 216 288 324 346 432 519 648 692 864 1038 1296 1384 1557 2076 2411 2592 2768 3114 4152 4671 4822 5536 6228 7233 8304 9342 9644 12456 14013 14466 16608 18684 19288 21699 24912 28026 28932 37368 38576 43398 49824 56052 57864 65097 74736 77152 86796 112104 115728 130194 149472 173592 195291 224208 231456 260388 347184 390582 417103 448416 520776 694368 781164 834206 1041552 1251309 1562328 1668412 2083104 2502618 3124656 3336824 3753927 5005236 6249312 6673648 7507854 10010472 11261781 13347296 15015708 20020944 22523562 30031416 33785343 40041888 45047124 60062832 67570686 90094248 120125664 135141372 180188496 270282744 360376992 540565488 1081130976