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109643856 = 24374753131
BaseRepresentation
bin1101000100100…
…00100001010000
321122022111002120
412202100201100
5211032100411
614514014240
72500646250
oct642204120
9248274076
10109643856
1156989063
1230877380
131993c22a
14107c1960
15995c106
hex6890850

109643856 has 160 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 29852160.

The previous prime is 109643843. The next prime is 109643873. The reversal of 109643856 is 658346901.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836911 + ... + 837041.

Almost surely, 2109643856 is an apocalyptic number.

109643856 is a gapful number since it is divisible by the number (16) 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 109643856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

109643856 is an abundant number, since it is smaller than the sum of its proper divisors (229762992).

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

109643856 is a wasteful number, since it uses less digits than its factorization.

109643856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 109643856 is about 10471.0962176842. The cubic root of 109643856 is about 478.6243249851.

The spelling of 109643856 in words is "one hundred nine million, six hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 53 56 84 94 106 112 131 141 159 168 188 212 262 282 318 329 336 371 376 393 424 524 564 636 658 742 752 786 848 917 987 1048 1113 1128 1272 1316 1484 1572 1834 1974 2096 2226 2256 2491 2544 2632 2751 2968 3144 3668 3948 4452 4982 5264 5502 5936 6157 6288 6943 7336 7473 7896 8904 9964 11004 12314 13886 14672 14946 15792 17437 17808 18471 19928 20829 22008 24628 27772 29892 34874 36942 39856 41658 43099 44016 48601 49256 52311 55544 59784 69748 73884 83316 86198 97202 98512 104622 111088 119568 129297 139496 145803 147768 166632 172396 194404 209244 258594 278992 291606 295536 326321 333264 344792 388808 418488 517188 583212 652642 689584 777616 836976 978963 1034376 1166424 1305284 1957926 2068752 2284247 2332848 2610568 3915852 4568494 5221136 6852741 7831704 9136988 13705482 15663408 18273976 27410964 36547952 54821928 109643856