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1077013256 = 23113412467
BaseRepresentation
bin100000000110001…
…1110101100001000
32210001120221102212
41000030132230020
54201203411011
6254512044252
735455314224
oct10014365410
92701527385
101077013256
11502a45000
12260833688
13142192c67
14a3077784
156484508b
hex4031eb08

1077013256 has 64 divisors (see below), whose sum is σ = 2276285760. Its totient is φ = 477417600.

The previous prime is 1077013211. The next prime is 1077013277. The reversal of 1077013256 is 6523107701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435335 + ... + 437801.

It is an arithmetic number, because the mean of its divisors is an integer number (35566965).

Almost surely, 21077013256 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 1077013256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138142880).

1077013256 is an abundant number, since it is smaller than the sum of its proper divisors (1199272504).

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

1077013256 is a wasteful number, since it uses less digits than its factorization.

1077013256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 1077013256 is about 32817.8801265408. The cubic root of 1077013256 is about 1025.0389058403.

The spelling of 1077013256 in words is "one billion, seventy-seven million, thirteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1331 1804 2467 2662 3608 4934 4961 5324 9868 9922 10648 19736 19844 27137 39688 54274 54571 101147 108548 109142 202294 217096 218284 298507 404588 436568 597014 809176 1112617 1194028 2225234 2388056 3283577 4450468 6567154 8900936 12238787 13134308 24477574 26268616 48955148 97910296 134626657 269253314 538506628 1077013256