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110214672 = 24317314357
BaseRepresentation
bin1101001000110…
…11111000010000
321200101111002220
412210123320100
5211203332142
614534141040
72505544401
oct644337020
9250344086
10110214672
1157238a07
1230ab1780
1319aabca9
14108cd9a8
159a212ec
hex691be10

110214672 has 80 divisors (see below), whose sum is σ = 311265792. Its totient is φ = 33454080.

The previous prime is 110214661. The next prime is 110214673. The reversal of 110214672 is 276412011.

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

It is not an unprimeable number, because it can be changed into a prime (110214673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23118 + ... + 27474.

Almost surely, 2110214672 is an apocalyptic number.

110214672 is a gapful number since it is divisible by the number (12) 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 110214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155632896).

110214672 is an abundant number, since it is smaller than the sum of its proper divisors (201051120).

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

110214672 is a wasteful number, since it uses less digits than its factorization.

110214672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 110214672 is about 10498.3175794982. The cubic root of 110214672 is about 479.4534751889.

Adding to 110214672 its reverse (276412011), we get a palindrome (386626683).

The spelling of 110214672 in words is "one hundred ten million, two hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 4357 6324 8432 8714 12648 13071 17428 25296 26142 34856 52284 69712 74069 104568 135067 148138 209136 222207 270134 296276 405201 444414 540268 592552 810402 888828 1080536 1185104 1620804 1777656 2161072 2296139 3241608 3555312 4592278 6483216 6888417 9184556 13776834 18369112 27553668 36738224 55107336 110214672