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78240870 = 23351811601
BaseRepresentation
bin1001010100111…
…01110001100110
312110020001022000
410222131301212
5130012201440
611432550130
71640015331
oct452356146
9173201260
1078240870
114018a584
1222252346
1313295796
14a569618
156d07730
hex4a9dc66

78240870 has 64 divisors (see below), whose sum is σ = 209926080. Its totient is φ = 20736000.

The previous prime is 78240859. The next prime is 78240881. The reversal of 78240870 is 7804287.

It is an interprime number because it is at equal distance from previous prime (78240859) and next prime (78240881).

It is a super-2 number, since 2×782408702 = 12243267476713800, which contains 22 as substring.

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, 48070 + ... + 49670.

It is an arithmetic number, because the mean of its divisors is an integer number (3280095).

Almost surely, 278240870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78240870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104963040).

78240870 is an abundant number, since it is smaller than the sum of its proper divisors (131685210).

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

78240870 is a wasteful number, since it uses less digits than its factorization.

78240870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78240870 is about 8845.3869333116. The cubic root of 78240870 is about 427.7052261784.

The spelling of 78240870 in words is "seventy-eight million, two hundred forty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 270 362 543 905 1086 1601 1629 1810 2715 3202 3258 4803 4887 5430 8005 8145 9606 9774 14409 16010 16290 24015 24435 28818 43227 48030 48870 72045 86454 144090 216135 289781 432270 579562 869343 1448905 1738686 2608029 2897810 4346715 5216058 7824087 8693430 13040145 15648174 26080290 39120435 78240870