Search a number
-
+
1362690 = 233572103
BaseRepresentation
bin101001100101100000010
32120020021000
411030230002
5322101230
645112430
714403600
oct5145402
92506230
101362690
1185089a
12558716
13389334
14276870
151bdb60
hex14cb02

1362690 has 96 divisors (see below), whose sum is σ = 4268160. Its totient is φ = 308448.

The previous prime is 1362689. The next prime is 1362701. The reversal of 1362690 is 962631.

It is a happy number.

It is a super-2 number, since 2×13626902 = 3713848072200, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13179 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

21362690 is an apocalyptic number.

1362690 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 1362690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134080).

1362690 is an abundant number, since it is smaller than the sum of its proper divisors (2905470).

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

1362690 is a wasteful number, since it uses less digits than its factorization.

1362690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1362690 is about 1167.3431372137. The cubic root of 1362690 is about 110.8661644812.

The spelling of 1362690 in words is "one million, three hundred sixty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 103 105 126 135 147 189 206 210 245 270 294 309 315 378 441 490 515 618 630 721 735 882 927 945 1030 1323 1442 1470 1545 1854 1890 2163 2205 2646 2781 3090 3605 4326 4410 4635 5047 5562 6489 6615 7210 9270 10094 10815 12978 13230 13905 15141 19467 21630 25235 27810 30282 32445 38934 45423 50470 64890 75705 90846 97335 136269 151410 194670 227115 272538 454230 681345 1362690