Search a number
-
+
112473630 = 2335616829
BaseRepresentation
bin1101011010000…
…11011000011110
321211122020211000
412231003120132
5212243124010
615054411130
72534003313
oct655033036
9254566730
10112473630
1158541115
1231800aa6
131a3c0259
1410d1ad0a
159d1a7c0
hex6b4361e

112473630 has 64 divisors (see below), whose sum is σ = 304891200. Its totient is φ = 29496960.

The previous prime is 112473601. The next prime is 112473659. The reversal of 112473630 is 36374211.

112473630 is a `hidden beast` number, since 1 + 1 + 24 + 7 + 3 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (112473601) and next prime (112473659).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112473594 and 112473603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13056 + ... + 19884.

It is an arithmetic number, because the mean of its divisors is an integer number (4763925).

Almost surely, 2112473630 is an apocalyptic number.

112473630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112473630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152445600).

112473630 is an abundant number, since it is smaller than the sum of its proper divisors (192417570).

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

112473630 is a wasteful number, since it uses less digits than its factorization.

112473630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 112473630 is about 10605.3585512231. The cubic root of 112473630 is about 482.7069709034.

The spelling of 112473630 in words is "one hundred twelve million, four hundred seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 6829 8235 13658 16470 20487 34145 40974 61461 68290 102435 122922 184383 204870 307305 368766 416569 614610 833138 921915 1249707 1843830 2082845 2499414 3749121 4165690 6248535 7498242 11247363 12497070 18745605 22494726 37491210 56236815 112473630