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37140272 = 2413178559
BaseRepresentation
bin1000110110101…
…1011100110000
32120212220212122
42031223130300
534001442042
63404013412
7630454451
oct215533460
976786778
1037140272
1119a68044
1210531268
137904cc0
144d0b128
1533d97d2
hex236b730

37140272 has 20 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 17141568.

The previous prime is 37140253. The next prime is 37140287. The reversal of 37140272 is 27204173.

37140272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89072 + ... + 89487.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 237140272 is an apocalyptic number.

It is an amenable number.

37140272 is an abundant number, since it is smaller than the sum of its proper divisors (40354768).

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

37140272 is a wasteful number, since it uses less digits than its factorization.

37140272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178580 (or 178574 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 37140272 is about 6094.2819101187. The cubic root of 37140272 is about 333.6427509156.

The spelling of 37140272 in words is "thirty-seven million, one hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 178559 357118 714236 1428472 2321267 2856944 4642534 9285068 18570136 37140272