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112469688 = 233317109281
BaseRepresentation
bin1101011010000…
…10011010111000
321211122001102000
412231002122320
5212243012223
615054341000
72533655652
oct655023270
9254561360
10112469688
1158539161
12317ba760
131a3bb516
1410d196d2
159d19543
hex6b426b8

112469688 has 128 divisors (see below), whose sum is σ = 335016000. Its totient is φ = 34836480.

The previous prime is 112469681. The next prime is 112469711. The reversal of 112469688 is 886964211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112469681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400108 + ... + 400388.

Almost surely, 2112469688 is an apocalyptic number.

112469688 is a gapful number since it is divisible by the number (18) 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 112469688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167508000).

112469688 is an abundant number, since it is smaller than the sum of its proper divisors (222546312).

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

112469688 is a wasteful number, since it uses less digits than its factorization.

112469688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 112469688 is about 10605.1727001497. The cubic root of 112469688 is about 482.7013314982.

The spelling of 112469688 in words is "one hundred twelve million, four hundred sixty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 109 136 153 204 216 218 281 306 327 408 436 459 562 612 654 843 872 918 981 1124 1224 1308 1686 1836 1853 1962 2248 2529 2616 2943 3372 3672 3706 3924 4777 5058 5559 5886 6744 7412 7587 7848 9554 10116 11118 11772 14331 14824 15174 16677 19108 20232 22236 23544 28662 30348 30629 33354 38216 42993 44472 50031 57324 60696 61258 66708 85986 91887 100062 114648 122516 128979 133416 171972 183774 200124 245032 257958 275661 343944 367548 400248 515916 520693 551322 735096 826983 1031832 1041386 1102644 1562079 1653966 2082772 2205288 3124158 3307932 4165544 4686237 6248316 6615864 9372474 12496632 14058711 18744948 28117422 37489896 56234844 112469688