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423920112 = 243711210427
BaseRepresentation
bin11001010001001…
…000000111110000
31002112200101001220
4121101020013300
51332010420422
6110022025040
713335155460
oct3121100760
91075611056
10423920112
111a8323500
12b9b78180
1369a98105
144042dba0
152733ae5c
hex194481f0

423920112 has 120 divisors (see below), whose sum is σ = 1375828608. Its totient is φ = 110098560.

The previous prime is 423920099. The next prime is 423920113. The reversal of 423920112 is 211029324.

It is a super-2 number, since 2×4239201122 = 359416522716185088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423920113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35443 + ... + 45869.

Almost surely, 2423920112 is an apocalyptic number.

423920112 is a gapful number since it is divisible by the number (42) 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 423920112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687914304).

423920112 is an abundant number, since it is smaller than the sum of its proper divisors (951908496).

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

423920112 is a wasteful number, since it uses less digits than its factorization.

423920112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 423920112 is about 20589.3203384667. The cubic root of 423920112 is about 751.2099651516.

Adding to 423920112 its reverse (211029324), we get a palindrome (634949436).

The spelling of 423920112 in words is "four hundred twenty-three million, nine hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 10427 13552 20328 20854 31281 40656 41708 62562 72989 83416 114697 125124 145978 166832 218967 229394 250248 291956 344091 437934 458788 500496 583912 688182 802879 875868 917576 1167824 1261667 1376364 1605758 1751736 1835152 2408637 2523334 2752728 3211516 3503472 3785001 4817274 5046668 5505456 6423032 7570002 8831669 9634548 10093336 12846064 15140004 17663338 19269096 20186672 26495007 30280008 35326676 38538192 52990014 60560016 70653352 105980028 141306704 211960056 423920112