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1076119820 = 225292337963
BaseRepresentation
bin100000000100100…
…0100100100001100
32202222220112212122
41000021010210030
54200441313240
6254440552112
735444603366
oct10011044414
92688815778
101076119820
11502494826
12260482638
13141c3c3b9
14a2cc3d36
156471a4b5
hex4024490c

1076119820 has 48 divisors (see below), whose sum is σ = 2348105760. Its totient is φ = 413769216.

The previous prime is 1076119819. The next prime is 1076119829. The reversal of 1076119820 is 289116701.

It is not an unprimeable number, because it can be changed into a prime (1076119829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131159 + ... + 139121.

It is an arithmetic number, because the mean of its divisors is an integer number (48918870).

Almost surely, 21076119820 is an apocalyptic number.

1076119820 is a gapful number since it is divisible by the number (10) 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 1076119820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174052880).

1076119820 is an abundant number, since it is smaller than the sum of its proper divisors (1271985940).

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

1076119820 is a wasteful number, since it uses less digits than its factorization.

1076119820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The square root of 1076119820 is about 32804.2652714552. The cubic root of 1076119820 is about 1024.7553871967.

The spelling of 1076119820 in words is "one billion, seventy-six million, one hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 233 290 466 580 932 1165 2330 4660 6757 7963 13514 15926 27028 31852 33785 39815 67570 79630 135140 159260 230927 461854 923708 1154635 1855379 2309270 3710758 4618540 7421516 9276895 18553790 37107580 53805991 107611982 215223964 269029955 538059910 1076119820