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78286740 = 22357186397
BaseRepresentation
bin1001010101010…
…00111110010100
312110022101012220
410222220332110
5130020133430
611433542340
71640266140
oct452507624
9173271186
1078286740
1140210a94
12222749b0
13132b061c
14a57c220
156d16110
hex4aa8f94

78286740 has 48 divisors (see below), whose sum is σ = 250518912. Its totient is φ = 17894016.

The previous prime is 78286727. The next prime is 78286757. The reversal of 78286740 is 4768287.

It is a super-2 number, since 2×782867402 = 12257627319655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 78286692 and 78286701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92779 + ... + 93618.

It is an arithmetic number, because the mean of its divisors is an integer number (5219144).

Almost surely, 278286740 is an apocalyptic number.

78286740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78286740 is an abundant number, since it is smaller than the sum of its proper divisors (172232172).

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

78286740 is a wasteful number, since it uses less digits than its factorization.

78286740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186416 (or 186414 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 78286740 is about 8847.9794303558. The cubic root of 78286740 is about 427.7887929299.

The spelling of 78286740 in words is "seventy-eight million, two hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 186397 372794 559191 745588 931985 1118382 1304779 1863970 2236764 2609558 2795955 3727940 3914337 5219116 5591910 6523895 7828674 11183820 13047790 15657348 19571685 26095580 39143370 78286740