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109413504 = 273461173
BaseRepresentation
bin1101000010110…
…00010010000000
321121212210010000
412201120102000
5211002213004
614505040000
72465666544
oct641302200
9247783100
10109413504
1156840a92
1230786000
131988b425
1410761a24
159913c39
hex6858480

109413504 has 160 divisors (see below), whose sum is σ = 332863740. Its totient is φ = 35665920.

The previous prime is 109413497. The next prime is 109413529. The reversal of 109413504 is 405314901.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 419904 = 10440^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632362 + ... + 632534.

Almost surely, 2109413504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431870).

109413504 is an abundant number, since it is smaller than the sum of its proper divisors (223450236).

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

109413504 is an equidigital number, since it uses as much as digits as its factorization.

109413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 109413504 is about 10460.0910129884. The cubic root of 109413504 is about 478.2889075870.

The spelling of 109413504 in words is "one hundred nine million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 173 183 192 216 244 288 324 346 366 384 432 488 519 549 576 648 692 732 864 976 1038 1098 1152 1296 1384 1464 1557 1647 1728 1952 2076 2196 2592 2768 2928 3114 3294 3456 3904 4152 4392 4671 4941 5184 5536 5856 6228 6588 7808 8304 8784 9342 9882 10368 10553 11072 11712 12456 13176 14013 16608 17568 18684 19764 21106 22144 23424 24912 26352 28026 31659 33216 35136 37368 39528 42212 49824 52704 56052 63318 66432 70272 74736 79056 84424 94977 99648 105408 112104 126636 149472 158112 168848 189954 199296 210816 224208 253272 284931 298944 316224 337696 379908 448416 506544 569862 597888 632448 675392 759816 854793 896832 1013088 1139724 1350784 1519632 1709586 1793664 2026176 2279448 3039264 3419172 4052352 4558896 6078528 6838344 9117792 12157056 13676688 18235584 27353376 36471168 54706752 109413504