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110427360 = 2535297933
BaseRepresentation
bin1101001010011…
…11110011100000
321200210021212020
412211033303200
5211232133420
614542501440
72510421441
oct645176340
9250707766
10110427360
115737378a
1230b94880
1319b54a44
14109472c8
159a64340
hex694fce0

110427360 has 96 divisors (see below), whose sum is σ = 359886240. Its totient is φ = 28428288.

The previous prime is 110427353. The next prime is 110427371. The reversal of 110427360 is 63724011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110427360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9954 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (3748815).

Almost surely, 2110427360 is an apocalyptic number.

110427360 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 110427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179943120).

110427360 is an abundant number, since it is smaller than the sum of its proper divisors (249458880).

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

110427360 is a wasteful number, since it uses less digits than its factorization.

110427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 110427360 is about 10508.4423203442. The cubic root of 110427360 is about 479.7616872565.

The spelling of 110427360 in words is "one hundred ten million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 7933 13920 15866 23799 31732 39665 47598 63464 79330 95196 118995 126928 158660 190392 230057 237990 253856 317320 380784 460114 475980 634640 690171 761568 920228 951960 1150285 1269280 1380342 1840456 1903920 2300570 2760684 3450855 3680912 3807840 4601140 5521368 6901710 7361824 9202280 11042736 13803420 18404560 22085472 27606840 36809120 55213680 110427360