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1040772816 = 243223314243
BaseRepresentation
bin111110000010001…
…110111011010000
32200112101201220100
4332002032323100
54112414212231
6251135212400
734535265036
oct7602167320
92615351810
101040772816
11494542026
12250677100
13137814705
149c322556
15615871e6
hex3e08eed0

1040772816 has 60 divisors (see below), whose sum is σ = 3039367968. Its totient is φ = 331839552.

The previous prime is 1040772809. The next prime is 1040772829. The reversal of 1040772816 is 6182770401.

1040772816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153810 + ... + 160433.

Almost surely, 21040772816 is an apocalyptic number.

1040772816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1040772816 is an abundant number, since it is smaller than the sum of its proper divisors (1998595152).

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

1040772816 is a wasteful number, since it uses less digits than its factorization.

1040772816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314280 (or 314271 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1040772816 is about 32261.0107715180. The cubic root of 1040772816 is about 1013.4102986709.

The spelling of 1040772816 in words is "one billion, forty million, seven hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 314243 628486 942729 1256972 1885458 2513944 2828187 3770916 5027888 5656374 7227589 7541832 11312748 14455178 15083664 21682767 22625496 28910356 43365534 45250992 57820712 65048301 86731068 115641424 130096602 173462136 260193204 346924272 520386408 1040772816