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109898964 = 223372191093
BaseRepresentation
bin1101000110011…
…10110011010100
321122210110001000
412203032303110
5211113231324
614523303300
72503061100
oct643166324
9248713030
10109898964
115704279a
123097ab30
13199cb396
141084a900
1599ac9c9
hex68cecd4

109898964 has 144 divisors (see below), whose sum is σ = 349204800. Its totient is φ = 29719872.

The previous prime is 109898959. The next prime is 109898981. The reversal of 109898964 is 469898901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109898964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100002 + ... + 101094.

Almost surely, 2109898964 is an apocalyptic number.

109898964 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 109898964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174602400).

109898964 is an abundant number, since it is smaller than the sum of its proper divisors (239305836).

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

109898964 is a wasteful number, since it uses less digits than its factorization.

109898964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 109898964 is about 10483.2706728387. The cubic root of 109898964 is about 478.9952420121.

The spelling of 109898964 in words is "one hundred nine million, eight hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1093 1197 1323 1596 1764 1862 2052 2186 2394 2646 2793 3279 3591 3724 4372 4788 5292 5586 6558 7182 7651 8379 9837 11172 13116 14364 15302 16758 19674 20767 22953 25137 29511 30604 33516 39348 41534 45906 50274 53557 59022 62301 68859 83068 91812 100548 107114 118044 124602 137718 145369 160671 186903 206577 214228 249204 275436 290738 321342 373806 413154 436107 482013 560709 581476 642684 747612 826308 872214 964026 1017583 1121418 1308321 1446039 1744428 1928052 2035166 2242836 2616642 2892078 3052749 3924963 4070332 5233284 5784156 6105498 7849926 9158247 12210996 15699852 18316494 27474741 36632988 54949482 109898964