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920889918 = 233138811489
BaseRepresentation
bin110110111000111…
…010101000111110
32101011211001111000
4312320322220332
53341221434133
6231213511130
731551302154
oct6670725076
92334731430
10920889918
11432900253
122184a24a6
13118a2bba0
148a4373d4
1555ca6413
hex36e3aa3e

920889918 has 64 divisors (see below), whose sum is σ = 2207822400. Its totient is φ = 282839040.

The previous prime is 920889901. The next prime is 920889919. The reversal of 920889918 is 819988029.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920889919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617718 + ... + 619206.

It is an arithmetic number, because the mean of its divisors is an integer number (34497225).

Almost surely, 2920889918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920889918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103911200).

920889918 is an abundant number, since it is smaller than the sum of its proper divisors (1286932482).

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

920889918 is a wasteful number, since it uses less digits than its factorization.

920889918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 920889918 is about 30346.1680941762. The cubic root of 920889918 is about 972.9023209212.

The spelling of 920889918 in words is "nine hundred twenty million, eight hundred eighty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 881 1489 1762 2643 2978 4467 5286 7929 8934 11453 13401 15858 19357 22906 23787 26802 34359 38714 40203 47574 58071 68718 80406 103077 116142 174213 206154 309231 348426 522639 618462 1045278 1311809 2623618 3935427 7870854 11806281 17053517 23612562 34107034 35418843 51160551 70837686 102321102 153481653 306963306 460444959 920889918