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77139036 = 223213231409
BaseRepresentation
bin1001001100100…
…00110001011100
312101011001212100
410212100301130
5124221422121
611353205100
71624446102
oct446206134
9171131770
1077139036
113a5a7777
1221a00790
1312c9b100
14a35dc72
156b8b026
hex4990c5c

77139036 has 108 divisors (see below), whose sum is σ = 218487360. Its totient is φ = 22913280.

The previous prime is 77138983. The next prime is 77139061. The reversal of 77139036 is 63093177.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 188400 + ... + 188808.

Almost surely, 277139036 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 77139036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109243680).

77139036 is an abundant number, since it is smaller than the sum of its proper divisors (141348324).

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

77139036 is a wasteful number, since it uses less digits than its factorization.

77139036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 77139036 is about 8782.8831257167. The cubic root of 77139036 is about 425.6879947772.

The spelling of 77139036 in words is "seventy-seven million, one hundred thirty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 409 468 507 558 676 806 818 1014 1116 1209 1227 1521 1612 1636 2028 2418 2454 3042 3627 3681 4836 4908 5239 5317 6084 7254 7362 10478 10634 12679 14508 14724 15717 15951 20956 21268 25358 31434 31902 38037 47151 47853 50716 62868 63804 69121 76074 94302 95706 114111 138242 152148 164827 188604 191412 207363 228222 276484 329654 414726 456444 494481 622089 659308 829452 988962 1244178 1483443 1977924 2142751 2488356 2966886 4285502 5933772 6428253 8571004 12856506 19284759 25713012 38569518 77139036