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1942272 = 2833281
BaseRepresentation
bin111011010001100000000
310122200022000
413122030000
5444123042
6105344000
722336413
oct7321400
93580260
101942272
111107292
12798000
13530097
14387b7a
1528574c
hex1da300

1942272 has 72 divisors (see below), whose sum is σ = 5764080. Its totient is φ = 645120.

The previous prime is 1942207. The next prime is 1942273. The reversal of 1942272 is 2722491.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1942273) 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, 6772 + ... + 7052.

21942272 is an apocalyptic number.

1942272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882040).

1942272 is an abundant number, since it is smaller than the sum of its proper divisors (3821808).

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

1942272 is an equidigital number, since it uses as much as digits as its factorization.

1942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1942272 is about 1393.6541895320. The cubic root of 1942272 is about 124.7680391529.

The spelling of 1942272 in words is "one million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 281 288 384 432 562 576 768 843 864 1124 1152 1686 1728 2248 2304 2529 3372 3456 4496 5058 6744 6912 7587 8992 10116 13488 15174 17984 20232 26976 30348 35968 40464 53952 60696 71936 80928 107904 121392 161856 215808 242784 323712 485568 647424 971136 1942272