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2690100 = 2232527261
BaseRepresentation
bin1010010000110000110100
312001200010100
422100300310
51142040400
6133354100
731602600
oct12206064
95050110
102690100
111578126
12a98930
1373259a
14500500
15382100
hex290c34

2690100 has 162 divisors, whose sum is σ = 9969414. Its totient is φ = 604800.

The previous prime is 2690099. The next prime is 2690111. The reversal of 2690100 is 10962.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 2683044 = 84^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 44070 + ... + 44130.

22690100 is an apocalyptic number.

2690100 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 2690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984707).

2690100 is an abundant number, since it is smaller than the sum of its proper divisors (7279314).

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

2690100 is a wasteful number, since it uses less digits than its factorization.

2690100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2690100 is about 1640.1524319404. The cubic root of 2690100 is about 139.0772649811.

The spelling of 2690100 in words is "two million, six hundred ninety thousand, one hundred".