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2097972 = 2232101577
BaseRepresentation
bin1000000000001100110100
310221120212200
420000030310
51014113342
6112544500
723555352
oct10001464
93846780
102097972
111203268
12852130
13585c06
143c87d2
152b694c
hex200334

2097972 has 36 divisors (see below), whose sum is σ = 5364996. Its totient is φ = 691200.

The previous prime is 2097967. The next prime is 2097983. The reversal of 2097972 is 2797902.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 41616 = 1434^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3348 + ... + 3924.

22097972 is an apocalyptic number.

It is an amenable number.

2097972 is an abundant number, since it is smaller than the sum of its proper divisors (3267024).

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

2097972 is a wasteful number, since it uses less digits than its factorization.

2097972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2097972 is about 1448.4377791262. The cubic root of 2097972 is about 128.0166807688.

The spelling of 2097972 in words is "two million, ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 577 606 909 1154 1212 1731 1818 2308 3462 3636 5193 6924 10386 20772 58277 116554 174831 233108 349662 524493 699324 1048986 2097972