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109940880 = 24357312111
BaseRepresentation
bin1101000110110…
…01000010010000
321122212120112110
412203121002100
5211121102010
614524225320
72503324230
oct643310220
9248776473
10109940880
1157071235
123099b240
1319a1449a
141085bcc0
1599ba120
hex68d9090

109940880 has 160 divisors (see below), whose sum is σ = 402259968. Its totient is φ = 24307200.

The previous prime is 109940879. The next prime is 109940881. The reversal of 109940880 is 88049901.

It is an interprime number because it is at equal distance from previous prime (109940879) and next prime (109940881).

It is not an unprimeable number, because it can be changed into a prime (109940881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51025 + ... + 53135.

Almost surely, 2109940880 is an apocalyptic number.

109940880 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 109940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201129984).

109940880 is an abundant number, since it is smaller than the sum of its proper divisors (292319088).

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

109940880 is a wasteful number, since it uses less digits than its factorization.

109940880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 109940880 is about 10485.2696674907. The cubic root of 109940880 is about 479.0561313108.

The spelling of 109940880 in words is "one hundred nine million, nine hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2111 2170 2480 2604 3255 3472 3720 4222 4340 5208 6333 6510 7440 8444 8680 10416 10555 12666 13020 14777 16888 17360 21110 25332 26040 29554 31665 33776 42220 44331 50664 52080 59108 63330 65441 73885 84440 88662 101328 118216 126660 130882 147770 168880 177324 196323 221655 236432 253320 261764 295540 327205 354648 392646 443310 458087 506640 523528 591080 654410 709296 785292 886620 916174 981615 1047056 1182160 1308820 1374261 1570584 1773240 1832348 1963230 2290435 2617640 2748522 3141168 3546480 3664696 3926460 4580870 5235280 5497044 6871305 7329392 7852920 9161740 10994088 13742610 15705840 18323480 21988176 27485220 36646960 54970440 109940880