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3700872 = 2332721049
BaseRepresentation
bin1110000111100010001000
320222000122100
432013202020
51421411442
6211153400
743312500
oct16074210
96860570
103700872
1120a857a
1212a5860
139c7686
146c4a00
154d184c
hex387888

3700872 has 72 divisors (see below), whose sum is σ = 11670750. Its totient is φ = 1056384.

The previous prime is 3700871. The next prime is 3700889. The reversal of 3700872 is 2780073.

It can be written as a sum of positive squares in only one way, i.e., 2414916 + 1285956 = 1554^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3700871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3004 + ... + 4052.

Almost surely, 23700872 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 3700872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835375).

3700872 is an abundant number, since it is smaller than the sum of its proper divisors (7969878).

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

3700872 is a wasteful number, since it uses less digits than its factorization.

3700872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3700872 is about 1923.7650584206. The cubic root of 3700872 is about 154.6801869209.

The spelling of 3700872 in words is "three million, seven hundred thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1049 1176 1764 2098 3147 3528 4196 6294 7343 8392 9441 12588 14686 18882 22029 25176 29372 37764 44058 51401 58744 66087 75528 88116 102802 132174 154203 176232 205604 264348 308406 411208 462609 528696 616812 925218 1233624 1850436 3700872