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78139096 = 237192331103
BaseRepresentation
bin1001010100001…
…00111011011000
312110000212200121
410222010323120
5130000422341
611430443024
71636112530
oct452047330
9173025617
1078139096
1140120072
1222203474
131325b369
14a5404c0
156cd74d1
hex4a84ed8

78139096 has 128 divisors (see below), whose sum is σ = 191692800. Its totient is φ = 29082240.

The previous prime is 78139091. The next prime is 78139097. The reversal of 78139096 is 69093187.

78139096 = T64 + T65 + ... + T776.

It is a super-2 number, since 2×781390962 = 12211436647394432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78139091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758581 + ... + 758683.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 278139096 is an apocalyptic number.

78139096 is a gapful number since it is divisible by the number (76) 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 78139096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95846400).

78139096 is an abundant number, since it is smaller than the sum of its proper divisors (113553704).

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

78139096 is a wasteful number, since it uses less digits than its factorization.

78139096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 78139096 is about 8839.6321190421. The cubic root of 78139096 is about 427.5196958654.

The spelling of 78139096 in words is "seventy-eight million, one hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 14 19 23 28 31 38 46 56 62 76 92 103 124 133 152 161 184 206 217 248 266 322 412 434 437 532 589 644 713 721 824 868 874 1064 1178 1288 1426 1442 1736 1748 1957 2356 2369 2852 2884 3059 3193 3496 3914 4123 4712 4738 4991 5704 5768 6118 6386 7828 8246 9476 9982 12236 12772 13547 13699 15656 16492 16583 18952 19964 22351 24472 25544 27094 27398 32984 33166 39928 44702 45011 54188 54796 60667 66332 73439 89404 90022 94829 108376 109592 121334 132664 146878 178808 180044 189658 242668 293756 315077 360088 379316 424669 485336 514073 587512 630154 758632 849338 1028146 1260308 1395341 1698676 2056292 2520616 2790682 3397352 4112584 5581364 9767387 11162728 19534774 39069548 78139096