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78514740 = 223253711789
BaseRepresentation
bin1001010111000…
…00101000110100
312110201221222100
410223200220310
5130044432430
611442502100
71642235643
oct453405064
9173657870
1078514740
1140357317
1222364930
1313360335
14a5db35a
156d5d960
hex4ae0a34

78514740 has 72 divisors (see below), whose sum is σ = 244618920. Its totient is φ = 20369664.

The previous prime is 78514727. The next prime is 78514741. The reversal of 78514740 is 4741587.

78514740 is a `hidden beast` number, since 78 + 514 + 74 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 74028816 = 2118^2 + 8604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78514695 and 78514704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78514741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (3397485).

Almost surely, 278514740 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 78514740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122309460).

78514740 is an abundant number, since it is smaller than the sum of its proper divisors (166104180).

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

78514740 is a wasteful number, since it uses less digits than its factorization.

78514740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 78514740 is about 8860.8543606133. The cubic root of 78514740 is about 428.2036835863.

The spelling of 78514740 in words is "seventy-eight million, five hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 11789 23578 35367 47156 58945 70734 106101 117890 141468 176835 212202 235780 353670 424404 436193 530505 707340 872386 1061010 1308579 1744772 2122020 2180965 2617158 3925737 4361930 5234316 6542895 7851474 8723860 13085790 15702948 19628685 26171580 39257370 78514740