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1076839245 = 33517607773
BaseRepresentation
bin100000000101111…
…0100001101001101
32210001021002202000
41000023310031031
54201132323440
6254504222513
735453661006
oct10013641515
92701232660
101076839245
11502936299
1226076aa39
131421319b1
14a30301ad
156480d730
hex402f434d

1076839245 has 64 divisors (see below), whose sum is σ = 2032957440. Its totient is φ = 538942464.

The previous prime is 1076839243. The next prime is 1076839271. The reversal of 1076839245 is 5429386701.

1076839245 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1076839245 - 21 = 1076839243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1076839245 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1076839245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076839243) 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, 1392679 + ... + 1393451.

It is an arithmetic number, because the mean of its divisors is an integer number (31764960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1076839245 = 2153678490, but 3⋅1076839245 = 3230517735 is not.

Almost surely, 21076839245 is an apocalyptic number.

1076839245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1076839245 is a deficient number, since it is larger than the sum of its proper divisors (956118195).

1076839245 is a wasteful number, since it uses less digits than its factorization.

1076839245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1076839245 is about 32815.2288579556. The cubic root of 1076839245 is about 1024.9836983328.

The spelling of 1076839245 in words is "one billion, seventy-six million, eight hundred thirty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 607 765 773 1821 2295 2319 3035 3865 5463 6957 9105 10319 11595 13141 16389 20871 27315 30957 34785 39423 51595 65705 81945 92871 104355 118269 154785 197115 278613 354807 464355 469211 591345 1393065 1407633 1774035 2346055 4222899 7038165 7976587 12668697 21114495 23929761 39882935 63343485 71789283 119648805 215367849 358946415 1076839245