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109864944 = 2433747773
BaseRepresentation
bin1101000110001…
…10011111110000
321122201201101000
412203012133300
5211111134234
614522442000
72502556650
oct643063760
9248651330
10109864944
115701a182
1230963300
13199b8a57
141083c360
1599a2899
hex68c67f0

109864944 has 160 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 30682368.

The previous prime is 109864939. The next prime is 109864969. The reversal of 109864944 is 449468901.

It is a self number, because there is not a number n which added to its sum of digits gives 109864944.

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, 141742 + ... + 142514.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 2109864944 is an apocalyptic number.

109864944 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 109864944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

109864944 is an abundant number, since it is smaller than the sum of its proper divisors (258682896).

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

109864944 is a wasteful number, since it uses less digits than its factorization.

109864944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 109864944 is about 10481.6479620335. The cubic root of 109864944 is about 478.9458114585.

The spelling of 109864944 in words is "one hundred nine million, eight hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 773 846 987 1008 1128 1269 1316 1512 1546 1692 1974 2256 2319 2538 2632 2961 3024 3092 3384 3948 4638 5076 5264 5411 5922 6184 6768 6957 7896 8883 9276 10152 10822 11844 12368 13914 15792 16233 17766 18552 20304 20871 21644 23688 27828 32466 35532 36331 37104 41742 43288 47376 48699 55656 64932 71064 72662 83484 86576 97398 108993 111312 129864 142128 145324 146097 166968 194796 217986 254317 259728 290648 292194 326979 333936 389592 435972 508634 581296 584388 653958 762951 779184 871944 980937 1017268 1168776 1307916 1525902 1743888 1961874 2034536 2288853 2337552 2615832 3051804 3923748 4069072 4577706 5231664 6103608 6866559 7847496 9155412 12207216 13733118 15694992 18310824 27466236 36621648 54932472 109864944