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3657980070 = 232540644223
BaseRepresentation
bin1101101000001000…
…0101100010100110
3100102221010122022100
43122002011202212
524442420330240
61402551112530
7156435213633
oct33202054246
910387118270
103657980070
11160791a628
12861072746
13463b00864
14269b6318a
15166215e30
hexda0858a6

3657980070 has 24 divisors (see below), whose sum is σ = 9510748416. Its totient is φ = 975461328.

The previous prime is 3657980057. The next prime is 3657980071. The reversal of 3657980070 is 700897563.

It is a happy number.

3657980070 is a `hidden beast` number, since 3 + 6 + 579 + 8 + 0 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3657979998 and 3657980025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657980071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20322022 + ... + 20322201.

It is an arithmetic number, because the mean of its divisors is an integer number (396281184).

Almost surely, 23657980070 is an apocalyptic number.

3657980070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3657980070 is an abundant number, since it is smaller than the sum of its proper divisors (5852768346).

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

3657980070 is a wasteful number, since it uses less digits than its factorization.

3657980070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644236 (or 40644233 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3657980070 is about 60481.2373385333. The cubic root of 3657980070 is about 1540.8029868109.

The spelling of 3657980070 in words is "three billion, six hundred fifty-seven million, nine hundred eighty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 40644223 81288446 121932669 203221115 243865338 365798007 406442230 609663345 731596014 1219326690 1828990035 3657980070