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83078030 = 257353457
BaseRepresentation
bin1001111001110…
…10101110001110
312210022210122002
410330322232032
5132231444110
612124352302
72026103000
oct474725616
9183283562
1083078030
1142993832
12239a5692
131429a3c9
14b068370
157460aa5
hex4f3ab8e

83078030 has 64 divisors (see below), whose sum is σ = 178070400. Its totient is φ = 27885312.

The previous prime is 83077961. The next prime is 83078053. The reversal of 83078030 is 3087038.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83077984 and 83078002.

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, 181562 + ... + 182018.

It is an arithmetic number, because the mean of its divisors is an integer number (2782350).

Almost surely, 283078030 is an apocalyptic number.

83078030 is an abundant number, since it is smaller than the sum of its proper divisors (94992370).

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

83078030 is a wasteful number, since it uses less digits than its factorization.

83078030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83078030 is about 9114.7150257153. The cubic root of 83078030 is about 436.3437200638.

The spelling of 83078030 in words is "eighty-three million, seventy-eight thousand, thirty".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 343 371 457 490 530 686 742 914 1715 1855 2285 2597 3199 3430 3710 4570 5194 6398 12985 15995 18179 22393 24221 25970 31990 36358 44786 48442 90895 111965 121105 156751 169547 181790 223930 242210 313502 339094 783755 847735 1186829 1567510 1695470 2373658 5934145 8307803 11868290 16615606 41539015 83078030