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1076810464 = 25178212411
BaseRepresentation
bin100000000101110…
…1101001011100000
32210001012122021001
41000023231023200
54201130413324
6254503441344
735453511052
oct10013551340
92701178231
101076810464
11502916704
12260756254
13142121872
14a30238d2
1564804e44
hex402ed2e0

1076810464 has 48 divisors (see below), whose sum is σ = 2248340976. Its totient is φ = 505907200.

The previous prime is 1076810459. The next prime is 1076810473. The reversal of 1076810464 is 4640186701.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445419 + ... + 447829.

It is an arithmetic number, because the mean of its divisors is an integer number (46840437).

Almost surely, 21076810464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124170488).

1076810464 is an abundant number, since it is smaller than the sum of its proper divisors (1171530512).

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

1076810464 is a wasteful number, since it uses less digits than its factorization.

1076810464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 1076810464 is about 32814.7903238768. The cubic root of 1076810464 is about 1024.9745665710.

The spelling of 1076810464 in words is "one billion, seventy-six million, eight hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 821 1642 2411 3284 4822 6568 9644 13136 13957 19288 26272 27914 38576 40987 55828 77152 81974 111656 163948 223312 327896 446624 655792 1311584 1979431 3958862 7917724 15835448 31670896 33650327 63341792 67300654 134601308 269202616 538405232 1076810464