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78740142 = 23132196167
BaseRepresentation
bin1001011000101…
…11101010101110
312111011102011120
410230113222232
5130124141032
611451401410
71644165045
oct454275256
9174142146
1078740142
11404a06a8
1222453266
131340bb00
14a65955c
156da562c
hex4b17aae

78740142 has 96 divisors (see below), whose sum is σ = 185166720. Its totient is φ = 22239360.

The previous prime is 78740111. The next prime is 78740147. The reversal of 78740142 is 24104787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78740147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175193 + ... + 1175259.

It is an arithmetic number, because the mean of its divisors is an integer number (1928820).

Almost surely, 278740142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78740142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583360).

78740142 is an abundant number, since it is smaller than the sum of its proper divisors (106426578).

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

78740142 is a wasteful number, since it uses less digits than its factorization.

78740142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 78740142 is about 8873.5642218896. The cubic root of 78740142 is about 428.6130578927.

The spelling of 78740142 in words is "seventy-eight million, seven hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 61 67 78 114 122 134 169 183 201 247 338 366 402 494 507 741 793 871 1014 1159 1273 1482 1586 1742 2318 2379 2546 2613 3211 3477 3819 4087 4758 5226 6422 6954 7638 8174 9633 10309 11323 12261 15067 16549 19266 20618 22646 24522 30134 30927 33098 33969 45201 49647 53131 61854 67938 77653 90402 99294 106262 155306 159393 195871 215137 232959 318786 391742 430274 465918 587613 645411 690703 1009489 1175226 1290822 1381406 2018978 2072109 3028467 4144218 6056934 13123357 26246714 39370071 78740142