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90986676 = 223112223281
BaseRepresentation
bin1010110110001…
…01100010110100
320100012121020220
411123011202310
5141243033201
613010054340
72153242164
oct533054264
9210177226
1090986676
11473a5700
122657a3b0
1315b09091
14c1265a4
157ec4036
hex56c58b4

90986676 has 72 divisors (see below), whose sum is σ = 235237632. Its totient is φ = 27350400.

The previous prime is 90986657. The next prime is 90986677. The reversal of 90986676 is 67668909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90986677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323656 + ... + 323936.

Almost surely, 290986676 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 90986676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117618816).

90986676 is an abundant number, since it is smaller than the sum of its proper divisors (144250956).

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

90986676 is a wasteful number, since it uses less digits than its factorization.

90986676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 90986676 is about 9538.6936212460. The cubic root of 90986676 is about 449.7721908656.

The spelling of 90986676 in words is "ninety million, nine hundred eighty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 223 242 281 363 446 484 562 669 726 843 892 1124 1338 1452 1686 2453 2676 3091 3372 4906 6182 7359 9273 9812 12364 14718 18546 26983 29436 34001 37092 53966 62663 68002 80949 102003 107932 125326 136004 161898 187989 204006 250652 323796 375978 408012 689293 751956 1378586 2067879 2757172 4135758 7582223 8271516 15164446 22746669 30328892 45493338 90986676