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2097900 = 223452737
BaseRepresentation
bin1000000000001011101100
310221120210000
420000023230
51014113100
6112544300
723555220
oct10001354
93846700
102097900
111203202
12852090
13585b7c
143c8780
152b6900
hex2002ec

2097900 has 180 divisors, whose sum is σ = 7982128. Its totient is φ = 466560.

The previous prime is 2097883. The next prime is 2097911. The reversal of 2097900 is 97902.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56682 + ... + 56718.

22097900 is an apocalyptic number.

2097900 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 2097900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991064).

2097900 is an abundant number, since it is smaller than the sum of its proper divisors (5884228).

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

2097900 is a wasteful number, since it uses less digits than its factorization.

2097900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 2097900 is about 1448.4129245488. The cubic root of 2097900 is about 128.0152162900.

The spelling of 2097900 in words is "two million, ninety-seven thousand, nine hundred".