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1056238680 = 233571279901
BaseRepresentation
bin111110111101001…
…110110001011000
32201121111111002010
4332331032301120
54130344114210
6252450505520
735113611030
oct7675166130
92647444063
101056238680
114a2245832
122558952a0
1313aa9b103
14a03ca8c0
1562ade920
hex3ef4ec58

1056238680 has 128 divisors (see below), whose sum is σ = 3650273280. Its totient is φ = 239500800.

The previous prime is 1056238669. The next prime is 1056238681. The reversal of 1056238680 is 868326501.

It is a happy number.

It is a super-2 number, since 2×10562386802 = 2231280298256284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056238681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101730 + ... + 111630.

It is an arithmetic number, because the mean of its divisors is an integer number (28517760).

Almost surely, 21056238680 is an apocalyptic number.

1056238680 is a gapful number since it is divisible by the number (10) 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 1056238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825136640).

1056238680 is an abundant number, since it is smaller than the sum of its proper divisors (2594034600).

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

1056238680 is a wasteful number, since it uses less digits than its factorization.

1056238680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1056238680 is about 32499.8258456872. The cubic root of 1056238680 is about 1018.4053899604.

The spelling of 1056238680 in words is "one billion, fifty-six million, two hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 254 280 381 420 508 635 762 840 889 1016 1270 1524 1778 1905 2540 2667 3048 3556 3810 4445 5080 5334 7112 7620 8890 9901 10668 13335 15240 17780 19802 21336 26670 29703 35560 39604 49505 53340 59406 69307 79208 99010 106680 118812 138614 148515 198020 207921 237624 277228 297030 346535 396040 415842 554456 594060 693070 831684 1039605 1188120 1257427 1386140 1663368 2079210 2514854 2772280 3772281 4158420 5029708 6287135 7544562 8316840 8801989 10059416 12574270 15089124 17603978 18861405 25148540 26405967 30178248 35207956 37722810 44009945 50297080 52811934 70415912 75445620 88019890 105623868 132029835 150891240 176039780 211247736 264059670 352079560 528119340 1056238680