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13802070 = 2352383241
BaseRepresentation
bin110100101001…
…101001010110
3221222012212210
4310221221112
512013131240
61211454250
7225213162
oct64515126
927865783
1013802070
117877777
124757386
132b23309
141b93ca2
151329780
hexd29a56

13802070 has 64 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 3463680.

The previous prime is 13802069. The next prime is 13802071. The reversal of 13802070 is 7020831.

13802070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13802069) and next prime (13802071).

13802070 is a modest number, since divided by 2070 gives 1380 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13802071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57150 + ... + 57390.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 213802070 is an apocalyptic number.

13802070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13802070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

13802070 is an abundant number, since it is smaller than the sum of its proper divisors (21324714).

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

13802070 is a wasteful number, since it uses less digits than its factorization.

13802070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13802070 is about 3715.1137263885. The cubic root of 13802070 is about 239.8730231099.

The spelling of 13802070 in words is "thirteen million, eight hundred two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 241 249 345 415 482 498 690 723 830 1205 1245 1446 1909 2410 2490 3615 3818 5543 5727 7230 9545 11086 11454 16629 19090 20003 27715 28635 33258 40006 55430 57270 60009 83145 100015 120018 166290 200030 300045 460069 600090 920138 1380207 2300345 2760414 4600690 6901035 13802070