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3972090 = 235132403
BaseRepresentation
bin1111001001101111111010
321110210200110
433021233322
52004101330
6221045150
745522303
oct17115772
97423613
103972090
112273321
1213b67b6
13a90c65
147557aa
15536db0
hex3c9bfa

3972090 has 16 divisors (see below), whose sum is σ = 9533088. Its totient is φ = 1059216.

The previous prime is 3972071. The next prime is 3972091. The reversal of 3972090 is 902793.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 132403 = 3972090 / (3 + 9 + 7 + 2 + 0 + 9 + 0).

It is not an unprimeable number, because it can be changed into a prime (3972091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66172 + ... + 66231.

It is an arithmetic number, because the mean of its divisors is an integer number (595818).

Almost surely, 23972090 is an apocalyptic number.

3972090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3972090 is an abundant number, since it is smaller than the sum of its proper divisors (5560998).

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

3972090 is a wasteful number, since it uses less digits than its factorization.

3972090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132413.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 3972090 is about 1993.0102859745. The cubic root of 3972090 is about 158.3700401199.

The spelling of 3972090 in words is "three million, nine hundred seventy-two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 132403 264806 397209 662015 794418 1324030 1986045 3972090