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112455340 = 225171132927
BaseRepresentation
bin1101011001111…
…10111010101100
321211121022201121
412230332322230
5212242032330
615054150324
72533566064
oct654767254
9254538647
10112455340
11585293a8
12317b23a4
131a3b4b2a
1410d143a4
159d1517a
hex6b3eeac

112455340 has 48 divisors (see below), whose sum is σ = 252346752. Its totient is φ = 41947136.

The previous prime is 112455313. The next prime is 112455367. The reversal of 112455340 is 43554211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112455313) and next prime (112455367).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36957 + ... + 39883.

It is an arithmetic number, because the mean of its divisors is an integer number (5257224).

Almost surely, 2112455340 is an apocalyptic number.

112455340 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 112455340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

112455340 is an abundant number, since it is smaller than the sum of its proper divisors (139891412).

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

112455340 is a wasteful number, since it uses less digits than its factorization.

112455340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 112455340 is about 10604.4962162283. The cubic root of 112455340 is about 482.6808042096.

The spelling of 112455340 in words is "one hundred twelve million, four hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 2927 3842 5854 7684 9605 11708 14635 19210 29270 38420 49759 58540 99518 199036 248795 330751 497590 661502 995180 1323004 1653755 3307510 5622767 6615020 11245534 22491068 28113835 56227670 112455340