Search a number
-
+
920692638 = 232294143019
BaseRepresentation
bin110110111000001…
…010011110011110
32101011110000212100
4312320022132132
53341144131023
6231205345530
731546521045
oct6670123636
92334400770
10920692638
11432786008
122184082a6
13118990158
148a3c555c
1555c67c43
hex36e0a79e

920692638 has 48 divisors (see below), whose sum is σ = 2114002800. Its totient is φ = 289080960.

The previous prime is 920692607. The next prime is 920692649. The reversal of 920692638 is 836296029.

920692638 is a `hidden beast` number, since 9 + 2 + 0 + 6 + 9 + 2 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 920692593 and 920692602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108 + ... + 42911.

It is an arithmetic number, because the mean of its divisors is an integer number (44041725).

Almost surely, 2920692638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920692638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057001400).

920692638 is an abundant number, since it is smaller than the sum of its proper divisors (1193310162).

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

920692638 is a wasteful number, since it uses less digits than its factorization.

920692638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43097 (or 43094 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 920692638 is about 30342.9174273009. The cubic root of 920692638 is about 972.8328417961.

The spelling of 920692638 in words is "nine hundred twenty million, six hundred ninety-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 7134 10701 21402 43019 86038 129057 258114 387171 774342 1247551 1763779 2495102 3527558 3742653 5291337 7485306 10582674 11227959 15874011 22455918 31748022 51149591 102299182 153448773 306897546 460346319 920692638