Search a number
-
+
1958985 = 3457691
BaseRepresentation
bin111011110010001001001
310200112020000
413132101021
51000141420
6105553213
722436220
oct7362111
93615200
101958985
1111188a6
127a5809
13537882
1438dcb7
1528a690
hex1de449

1958985 has 40 divisors (see below), whose sum is σ = 4019136. Its totient is φ = 894240.

The previous prime is 1958959. The next prime is 1958993. The reversal of 1958985 is 5898591.

It is not a de Polignac number, because 1958985 - 212 = 1954889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1958985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1958985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2490 + ... + 3180.

21958985 is an apocalyptic number.

1958985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1958985 is an abundant number, since it is smaller than the sum of its proper divisors (2060151).

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

1958985 is an equidigital number, since it uses as much as digits as its factorization.

1958985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The square root of 1958985 is about 1399.6374530570. The cubic root of 1958985 is about 125.1248885146.

It can be divided in two parts, 195 and 8985, that added together give a triangular number (9180 = T135).

The spelling of 1958985 in words is "one million, nine hundred fifty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 691 945 2073 2835 3455 4837 6219 10365 14511 18657 24185 31095 43533 55971 72555 93285 130599 217665 279855 391797 652995 1958985