Search a number
-
+
1360920 = 2335111031
BaseRepresentation
bin101001100010000011000
32120010211110
411030100120
5322022140
645100320
714365461
oct5142030
92503743
101360920
1184a530
125576a0
133885a2
14275d68
151bd380
hex14c418

1360920 has 64 divisors (see below), whose sum is σ = 4458240. Its totient is φ = 329600.

The previous prime is 1360903. The next prime is 1360921. The reversal of 1360920 is 290631.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360921) by changing a digit.

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, 805 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (69660).

21360920 is an apocalyptic number.

1360920 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 1360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229120).

1360920 is an abundant number, since it is smaller than the sum of its proper divisors (3097320).

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

1360920 is a wasteful number, since it uses less digits than its factorization.

1360920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1360920 is about 1166.5847590295. The cubic root of 1360920 is about 110.8181422764.

The spelling of 1360920 in words is "one million, three hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1031 1320 2062 3093 4124 5155 6186 8248 10310 11341 12372 15465 20620 22682 24744 30930 34023 41240 45364 56705 61860 68046 90728 113410 123720 136092 170115 226820 272184 340230 453640 680460 1360920