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1390116 = 2237131967
BaseRepresentation
bin101010011011000100100
32121121212210
411103120210
5323440431
645443420
714546550
oct5233044
92547783
101390116
1186a462
12570570
13398970
14282860
151c6d46
hex153624

1390116 has 96 divisors (see below), whose sum is σ = 4264960. Its totient is φ = 342144.

The previous prime is 1390111. The next prime is 1390117. The reversal of 1390116 is 6110931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1390092 and 1390101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390111) 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, 20715 + ... + 20781.

21390116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132480).

1390116 is an abundant number, since it is smaller than the sum of its proper divisors (2874844).

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

1390116 is a wasteful number, since it uses less digits than its factorization.

1390116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1390116 is about 1179.0318061868. The cubic root of 1390116 is about 111.6050074191.

Adding to 1390116 its product of nonzero digits (162), we get a triangular number (1390278 = T1667).

The spelling of 1390116 in words is "one million, three hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 67 76 78 84 91 114 133 134 156 182 201 228 247 266 268 273 364 399 402 469 494 532 546 741 798 804 871 938 988 1092 1273 1407 1482 1596 1729 1742 1876 2546 2613 2814 2964 3458 3484 3819 5092 5187 5226 5628 6097 6916 7638 8911 10374 10452 12194 15276 16549 17822 18291 20748 24388 26733 33098 35644 36582 49647 53466 66196 73164 99294 106932 115843 198588 231686 347529 463372 695058 1390116