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1972272 = 243172417
BaseRepresentation
bin111100001100000110000
310201012110010
413201200300
51001103042
6110134520
722523031
oct7414060
93635403
101972272
111127885
127b1440
13540933
14394a88
1528e59c
hex1e1830

1972272 has 40 divisors (see below), whose sum is σ = 5396976. Its totient is φ = 618496.

The previous prime is 1972259. The next prime is 1972277. The reversal of 1972272 is 2722791.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1972277) 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, 393 + ... + 2024.

21972272 is an apocalyptic number.

1972272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1972272 is an abundant number, since it is smaller than the sum of its proper divisors (3424704).

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

1972272 is a wasteful number, since it uses less digits than its factorization.

1972272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2439 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 1972272 is about 1404.3760180237. The cubic root of 1972272 is about 125.4071417781.

The spelling of 1972272 in words is "one million, nine hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2417 4834 7251 9668 14502 19336 29004 38672 41089 58008 82178 116016 123267 164356 246534 328712 493068 657424 986136 1972272