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1076412051 = 331113793529
BaseRepresentation
bin100000000101000…
…1011111010010011
32210000110101202000
41000022023322103
54201030141201
6254451125043
735450231361
oct10012137223
92700411660
101076412051
11502674340
122605a3783
13142012410
14a2d5c631
1564776d86
hex4028be93

1076412051 has 64 divisors (see below), whose sum is σ = 1897728000. Its totient is φ = 594397440.

The previous prime is 1076412031. The next prime is 1076412059. The reversal of 1076412051 is 1502146701.

It is a happy number.

1076412051 is a `hidden beast` number, since 10 + 7 + 641 + 2 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 1076412051 - 25 = 1076412019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1076412059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303255 + ... + 306783.

It is an arithmetic number, because the mean of its divisors is an integer number (29652000).

Almost surely, 21076412051 is an apocalyptic number.

1076412051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1076412051 is a deficient number, since it is larger than the sum of its proper divisors (821315949).

1076412051 is a wasteful number, since it uses less digits than its factorization.

1076412051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1076412051 is about 32808.7191307433. The cubic root of 1076412051 is about 1024.8481396277.

Adding to 1076412051 its reverse (1502146701), we get a palindrome (2578558752).

The spelling of 1076412051 in words is "one billion, seventy-six million, four hundred twelve thousand, fifty-one".

Divisors: 1 3 9 11 13 27 33 39 79 99 117 143 237 297 351 429 711 869 1027 1287 2133 2607 3081 3529 3861 7821 9243 10587 11297 23463 27729 31761 33891 38819 45877 95283 101673 116457 137631 278791 305019 349371 412893 504647 836373 1048113 1238679 1513941 2509119 3066701 3624283 4541823 7527357 9200103 10872849 13625469 27600309 32618547 39867113 82800927 97855641 119601339 358804017 1076412051