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1356040 = 235729167
BaseRepresentation
bin101001011000100001000
32112220010201
411023010020
5321343130
645021544
714345320
oct5130410
92486121
101356040
118468a4
125548b4
133862ba
14274280
151bbbca
hex14b108

1356040 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 446208.

The previous prime is 1356037. The next prime is 1356053. The reversal of 1356040 is 406531.

It is a junction number, because it is equal to n+sod(n) for n = 1355999 and 1356017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8037 + ... + 8203.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

21356040 is an apocalyptic number.

1356040 is a gapful number since it is divisible by the number (10) 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 1356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1356040 is an abundant number, since it is smaller than the sum of its proper divisors (2272760).

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

1356040 is a wasteful number, since it uses less digits than its factorization.

1356040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1356040 is about 1164.4913052488. The cubic root of 1356040 is about 110.6855260515.

The spelling of 1356040 in words is "one million, three hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 167 203 232 280 290 334 406 580 668 812 835 1015 1160 1169 1336 1624 1670 2030 2338 3340 4060 4676 4843 5845 6680 8120 9352 9686 11690 19372 23380 24215 33901 38744 46760 48430 67802 96860 135604 169505 193720 271208 339010 678020 1356040