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77690136 = 23317223487
BaseRepresentation
bin1001010000101…
…11010100011000
312102012001211110
410220113110120
5124342041021
611413100320
71632232566
oct450272430
9172161743
1077690136
113a943827
12220276a0
1313131bc4
14a464a36
156c49476
hex4a17518

77690136 has 96 divisors (see below), whose sum is σ = 215735040. Its totient is φ = 23265792.

The previous prime is 77690131. The next prime is 77690143. The reversal of 77690136 is 63109677.

It is a junction number, because it is equal to n+sod(n) for n = 77690094 and 77690103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77690131) 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, 159285 + ... + 159771.

It is an arithmetic number, because the mean of its divisors is an integer number (2247240).

Almost surely, 277690136 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 77690136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107867520).

77690136 is an abundant number, since it is smaller than the sum of its proper divisors (138044904).

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

77690136 is a wasteful number, since it uses less digits than its factorization.

77690136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 77690136 is about 8814.2008145946. The cubic root of 77690136 is about 426.6993296392.

The spelling of 77690136 in words is "seventy-seven million, six hundred ninety thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 289 391 408 487 552 578 782 867 974 1156 1173 1461 1564 1734 1948 2312 2346 2922 3128 3468 3896 4692 5844 6647 6936 8279 9384 11201 11688 13294 16558 19941 22402 24837 26588 33116 33603 39882 44804 49674 53176 66232 67206 79764 89608 99348 134412 140743 159528 190417 198696 268824 281486 380834 422229 562972 571251 761668 844458 1125944 1142502 1523336 1688916 2285004 3237089 3377832 4570008 6474178 9711267 12948356 19422534 25896712 38845068 77690136