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1268312256 = 263581553
BaseRepresentation
bin100101110011000…
…1110100011000000
310021101112221100000
41023212032203000
510044141443011
6325504200000
743300322241
oct11346164300
93241487300
101268312256
115a0a24852
122b4909000
131729c1a33
14c0632cc8
1576531356
hex4b98e8c0

1268312256 has 84 divisors (see below), whose sum is σ = 3770078312. Its totient is φ = 422765568.

The previous prime is 1268312239. The next prime is 1268312261. The reversal of 1268312256 is 6522138621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1268312256.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25225 + ... + 56328.

Almost surely, 21268312256 is an apocalyptic number.

1268312256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1268312256 is an abundant number, since it is smaller than the sum of its proper divisors (2501766056).

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

1268312256 is an frugal number, since it uses more digits than its factorization.

1268312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81580 (or 81558 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1268312256 is about 35613.3718706892. The cubic root of 1268312256 is about 1082.4522056816.

The spelling of 1268312256 in words is "one billion, two hundred sixty-eight million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 81553 163106 244659 326212 489318 652424 733977 978636 1304848 1467954 1957272 2201931 2609696 2935908 3914544 4403862 5219392 5871816 6605793 7829088 8807724 11743632 13211586 15658176 17615448 19817379 23487264 26423172 35230896 39634758 46974528 52846344 70461792 79269516 105692688 140923584 158539032 211385376 317078064 422770752 634156128 1268312256