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1055236364 = 2272131971307
BaseRepresentation
bin111110111001011…
…010000100001100
32201112121120011022
4332321122010030
54130120030424
6252413213312
735102234600
oct7671320414
92645546138
101055236364
114a1720776
12255491238
1313a809b20
14a0209500
156299295e
hex3ee5a10c

1055236364 has 144 divisors (see below), whose sum is σ = 2477502720. Its totient is φ = 388644480.

The previous prime is 1055236363. The next prime is 1055236381. The reversal of 1055236364 is 4636325501.

1055236364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552363642 = 2227047567815880992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055236363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3437099 + ... + 3437405.

It is an arithmetic number, because the mean of its divisors is an integer number (17204880).

Almost surely, 21055236364 is an apocalyptic number.

1055236364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055236364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238751360).

1055236364 is an abundant number, since it is smaller than the sum of its proper divisors (1422266356).

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

1055236364 is a wasteful number, since it uses less digits than its factorization.

1055236364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 1055236364 is about 32484.4018568913. The cubic root of 1055236364 is about 1018.0831499558.

The spelling of 1055236364 in words is "one billion, fifty-five million, two hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 71 76 91 98 133 142 182 196 247 266 284 307 364 494 497 532 614 637 923 931 988 994 1228 1274 1349 1729 1846 1862 1988 2149 2548 2698 3458 3479 3692 3724 3991 4298 5396 5833 6461 6916 6958 7982 8596 9443 11666 12103 12922 13916 15043 15964 17537 18886 21797 23332 24206 25844 27937 30086 35074 37772 40831 43594 45227 48412 55874 60172 66101 70148 75829 81662 87188 90454 111748 122759 132202 151658 152579 163324 180908 195559 245518 264404 283361 285817 303316 305158 391118 414143 491036 530803 566722 571634 610316 782236 828286 859313 1061606 1068053 1133444 1143268 1656572 1718626 1983527 2123212 2136106 2899001 3437252 3715621 3967054 4272212 5383859 5798002 7431242 7934108 10767718 11596004 13884689 14862484 20293007 21535436 27769378 37687013 40586014 55538756 75374026 81172028 150748052 263809091 527618182 1055236364