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2690035920 = 2434511132903
BaseRepresentation
bin1010000001010110…
…1011000011010000
320221110202222120000
42200111223003100
521002122122140
61122532450000
7123442633215
oct24025530320
96843688500
102690035920
111160500890
12630a79900
1333b408340
141b739bb0c
1510b267a30
hexa056b0d0

2690035920 has 400 divisors, whose sum is σ = 10980047232. Its totient is φ = 601758720.

The previous prime is 2690035891. The next prime is 2690035921. The reversal of 2690035920 is 295300962.

2690035920 is a `hidden beast` number, since 2 + 69 + 0 + 0 + 3 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690035921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 925189 + ... + 928091.

Almost surely, 22690035920 is an apocalyptic number.

2690035920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690035920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490023616).

2690035920 is an abundant number, since it is smaller than the sum of its proper divisors (8290011312).

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

2690035920 is a wasteful number, since it uses less digits than its factorization.

2690035920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2690035920 is about 51865.5562006232. The cubic root of 2690035920 is about 1390.7616066752.

The spelling of 2690035920 in words is "two billion, six hundred ninety million, thirty-five thousand, nine hundred twenty".