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1076400880 = 24541328171
BaseRepresentation
bin100000000101000…
…1001001011110000
32210000102211102021
41000022021023300
54201024312010
6254451001224
735450153662
oct10012111360
92700384367
101076400880
11502666a05
12260599214
1314200a2c9
14a2d58532
15647738da
hex402892f0

1076400880 has 40 divisors (see below), whose sum is σ = 2563679664. Its totient is φ = 420057600.

The previous prime is 1076400821. The next prime is 1076400881. The reversal of 1076400880 is 880046701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076400881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160806 + ... + 167365.

Almost surely, 21076400880 is an apocalyptic number.

1076400880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076400880 is an abundant number, since it is smaller than the sum of its proper divisors (1487278784).

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

1076400880 is a wasteful number, since it uses less digits than its factorization.

1076400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328225 (or 328219 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 1076400880 is about 32808.5488859230. The cubic root of 1076400880 is about 1024.8445943255.

It can be divided in two parts, 1076 and 400880, that added together give a square (401956 = 6342).

The spelling of 1076400880 in words is "one billion, seventy-six million, four hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 328171 656342 1312684 1640855 2625368 3281710 5250736 6563420 13126840 13455011 26253680 26910022 53820044 67275055 107640088 134550110 215280176 269100220 538200440 1076400880