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78072280 = 235111313649
BaseRepresentation
bin1001010011101…
…00100111011000
312102220111000221
410221310213120
5124441303110
611425205424
71635413656
oct451644730
9172814027
1078072280
1140084950
1222190874
1313236b20
14a523dd6
156cc27da
hex4a749d8

78072280 has 64 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 26204160.

The previous prime is 78072271. The next prime is 78072287. The reversal of 78072280 is 8227087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78072287) 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 15 ways as a sum of consecutive naturals, for example, 1105 + ... + 12544.

Almost surely, 278072280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78072280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

78072280 is an abundant number, since it is smaller than the sum of its proper divisors (128315720).

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

78072280 is a wasteful number, since it uses less digits than its factorization.

78072280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13680 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 78072280 is about 8835.8519679768. The cubic root of 78072280 is about 427.3978051036.

The spelling of 78072280 in words is "seventy-eight million, seventy-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 13649 27298 54596 68245 109192 136490 150139 177437 272980 300278 354874 545960 600556 709748 750695 887185 1201112 1419496 1501390 1774370 1951807 3002780 3548740 3903614 6005560 7097480 7807228 9759035 15614456 19518070 39036140 78072280