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1972416 = 26310273
BaseRepresentation
bin111100001100011000000
310201012122110
413201203000
51001104131
6110135320
722523325
oct7414300
93635573
101972416
1111279a6
127b1540
13540a14
14394b4c
1528e646
hex1e18c0

1972416 has 28 divisors (see below), whose sum is σ = 5219192. Its totient is φ = 657408.

The previous prime is 1972381. The next prime is 1972417. The reversal of 1972416 is 6142791.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4945 + ... + 5328.

21972416 is an apocalyptic number.

1972416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972416 is an abundant number, since it is smaller than the sum of its proper divisors (3246776).

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

1972416 is a wasteful number, since it uses less digits than its factorization.

1972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288 (or 10278 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1972416 is about 1404.4272854085. The cubic root of 1972416 is about 125.4101937894.

The spelling of 1972416 in words is "one million, nine hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10273 20546 30819 41092 61638 82184 123276 164368 246552 328736 493104 657472 986208 1972416