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109913440 = 2557137549
BaseRepresentation
bin1101000110100…
…10010101100000
321122211011220011
412203102111200
5211114212230
614523454304
72503151230
oct643222540
9248734804
10109913440
115705265a
1230987394
1319a04b50
1410851cc0
1599b1e2a
hex68d2560

109913440 has 96 divisors (see below), whose sum is σ = 319636800. Its totient is φ = 34781184.

The previous prime is 109913413. The next prime is 109913443. The reversal of 109913440 is 44319901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109913443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10786 + ... + 18334.

It is an arithmetic number, because the mean of its divisors is an integer number (3329550).

Almost surely, 2109913440 is an apocalyptic number.

109913440 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 109913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159818400).

109913440 is an abundant number, since it is smaller than the sum of its proper divisors (209723360).

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

109913440 is a wasteful number, since it uses less digits than its factorization.

109913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 109913440 is about 10483.9610834837. The cubic root of 109913440 is about 479.0162723307.

The spelling of 109913440 in words is "one hundred nine million, nine hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 7549 14560 15098 30196 37745 52843 60392 75490 98137 105686 120784 150980 196274 211372 241568 264215 301960 392548 422744 490685 528430 603920 686959 785096 845488 981370 1056860 1207840 1373918 1570192 1690976 1962740 2113720 2747836 3140384 3434795 3925480 4227440 5495672 6869590 7850960 8454880 10991344 13739180 15701920 21982688 27478360 54956720 109913440