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112627480 = 235738209
BaseRepresentation
bin1101011011010…
…00111100011000
321211221001212011
412231220330120
5212313034410
615101555304
72535214000
oct655507430
9254831764
10112627480
1158636769
1231875b34
131a4452a4
1410d5b000
159d4b18a
hex6b68f18

112627480 has 64 divisors (see below), whose sum is σ = 295560000. Its totient is φ = 38610432.

The previous prime is 112627447. The next prime is 112627511. The reversal of 112627480 is 84726211.

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, 9616 + ... + 17824.

It is an arithmetic number, because the mean of its divisors is an integer number (4618125).

Almost surely, 2112627480 is an apocalyptic number.

112627480 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 112627480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147780000).

112627480 is an abundant number, since it is smaller than the sum of its proper divisors (182932520).

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

112627480 is an equidigital number, since it uses as much as digits as its factorization.

112627480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 112627480 is about 10612.6094811785. The cubic root of 112627480 is about 482.9269650823.

The spelling of 112627480 in words is "one hundred twelve million, six hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 8209 13720 16418 32836 41045 57463 65672 82090 114926 164180 229852 287315 328360 402241 459704 574630 804482 1149260 1608964 2011205 2298520 2815687 3217928 4022410 5631374 8044820 11262748 14078435 16089640 22525496 28156870 56313740 112627480