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1130573376 = 26344672
BaseRepresentation
bin100001101100011…
…0010111001000000
32220210101002010000
41003120302321000
54303411322001
6304104040000
740005500202
oct10330627100
92823332100
101130573376
115301a7569
12276763000
131502c693a
14aa21a772
15693c4a86
hex43632e40

1130573376 has 105 divisors (see below), whose sum is σ = 3358565419. Its totient is φ = 376050816.

The previous prime is 1130573371. The next prime is 1130573383. The reversal of 1130573376 is 6733750311.

It is a happy number.

The square root of 1130573376 is 33624.

It is a perfect power (a square), and thus also a powerful number.

1130573376 is a `hidden beast` number, since 1 + 13 + 0 + 573 + 3 + 76 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130573376.

It is not an unprimeable number, because it can be changed into a prime (1130573371) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2420695 + ... + 2421161.

Almost surely, 21130573376 is an apocalyptic number.

1130573376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1130573376 is the 33624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130573376

1130573376 is an abundant number, since it is smaller than the sum of its proper divisors (2227992043).

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

1130573376 is an frugal number, since it uses more digits than its factorization.

1130573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The cubic root of 1130573376 is about 1041.7565777908.

Multiplying 1130573376 by its sum of digits (36), we get a square (40700641536 = 2017442).

1130573376 divided by its sum of digits (36) gives a square (31404816 = 56042).

It can be divided in two parts, 11305 and 73376, that added together give a square (84681 = 2912).

The spelling of 1130573376 in words is "one billion, one hundred thirty million, five hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 467 576 648 864 934 1296 1401 1728 1868 2592 2802 3736 4203 5184 5604 7472 8406 11208 12609 14944 16812 22416 25218 29888 33624 37827 44832 50436 67248 75654 89664 100872 134496 151308 201744 218089 268992 302616 403488 436178 605232 654267 806976 872356 1210464 1308534 1744712 1962801 2420928 2617068 3489424 3925602 5234136 5888403 6978848 7851204 10468272 11776806 13957696 15702408 17665209 20936544 23553612 31404816 35330418 41873088 47107224 62809632 70660836 94214448 125619264 141321672 188428896 282643344 376857792 565286688 1130573376