Search a number
-
+
920099840 = 21051117312
BaseRepresentation
bin110110110101111…
…001110000000000
32101010022220200212
4312311321300000
53341021143330
6231144533252
731541501552
oct6665716000
92333286625
10920099840
114324106a0
12218181228
1311881339a
148a2ad4d2
1555b9c295
hex36d79c00

920099840 has 264 divisors, whose sum is σ = 2634341616. Its totient is φ = 304742400.

The previous prime is 920099839. The next prime is 920099879. The reversal of 920099840 is 48990029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29680625 + ... + 29680655.

Almost surely, 2920099840 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 920099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317170808).

920099840 is an abundant number, since it is smaller than the sum of its proper divisors (1714241776).

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

920099840 is a wasteful number, since it uses less digits than its factorization.

920099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 920099840 is about 30333.1475452186. The cubic root of 920099840 is about 972.6240072899.

The spelling of 920099840 in words is "nine hundred twenty million, ninety-nine thousand, eight hundred forty".