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78410430 = 2345713829
BaseRepresentation
bin1001010110001…
…11001010111110
312110112122220000
410223013022332
5130033113210
611440335130
71641322560
oct453071276
9173478800
1078410430
1140295a0a
12223144a6
1313324a07
14a5b1330
156d3cac0
hex4ac72be

78410430 has 80 divisors (see below), whose sum is σ = 240973920. Its totient is φ = 17921088.

The previous prime is 78410419. The next prime is 78410459. The reversal of 78410430 is 3401487.

It is a super-2 number, since 2×784104302 = 12296391065569800, which contains 22 as substring.

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 = 78410394 and 78410403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1245 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (3012174).

Almost surely, 278410430 is an apocalyptic number.

78410430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78410430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120486960).

78410430 is an abundant number, since it is smaller than the sum of its proper divisors (162563490).

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

78410430 is a wasteful number, since it uses less digits than its factorization.

78410430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78410430 is about 8854.9664030983. The cubic root of 78410430 is about 428.0139709243.

The spelling of 78410430 in words is "seventy-eight million, four hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 13829 27658 41487 69145 82974 96803 124461 138290 193606 207435 248922 290409 373383 414870 484015 580818 622305 746766 871227 968030 1120149 1244610 1452045 1742454 1866915 2240298 2613681 2904090 3733830 4356135 5227362 5600745 7841043 8712270 11201490 13068405 15682086 26136810 39205215 78410430