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109463040 = 293254751
BaseRepresentation
bin1101000011001…
…00011000000000
321121222022001200
412201210120000
5211010304130
614510101200
72466264141
oct641443000
9247868050
10109463040
1156875225
12307aa800
13198a7b3b
1410775ac8
159923760
hex6864600

109463040 has 120 divisors (see below), whose sum is σ = 379181088. Its totient is φ = 29184000.

The previous prime is 109463021. The next prime is 109463041. The reversal of 109463040 is 40364901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 109462995 and 109463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109463041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20665 + ... + 25415.

Almost surely, 2109463040 is an apocalyptic number.

109463040 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 109463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590544).

109463040 is an abundant number, since it is smaller than the sum of its proper divisors (269718048).

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

109463040 is an equidigital number, since it uses as much as digits as its factorization.

109463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 109463040 is about 10462.4586020686. The cubic root of 109463040 is about 478.3610770598.

The spelling of 109463040 in words is "one hundred nine million, four hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 4751 5760 7680 9502 11520 14253 19004 23040 23755 28506 38008 42759 47510 57012 71265 76016 85518 95020 114024 142530 152032 171036 190040 213795 228048 285060 304064 342072 380080 427590 456096 570120 608128 684144 760160 855180 912192 1140240 1216256 1368288 1520320 1710360 1824384 2280480 2432512 2736576 3040640 3420720 3648768 4560960 5473152 6081280 6841440 7297536 9121920 10946304 12162560 13682880 18243840 21892608 27365760 36487680 54731520 109463040