Search a number
-
+
1059630 = 2351113219
BaseRepresentation
bin100000010101100101110
31222211112120
410002230232
5232402010
634413410
712002205
oct4025456
91884476
101059630
11664130
12431266
132b1400
141d823c
1515de70
hex102b2e

1059630 has 96 divisors (see below), whose sum is σ = 3162240. Its totient is φ = 224640.

The previous prime is 1059613. The next prime is 1059637. The reversal of 1059630 is 369501.

It is a super-2 number, since 2×10596302 = 2245631473800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1059630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55761 + ... + 55779.

It is an arithmetic number, because the mean of its divisors is an integer number (32940).

21059630 is an apocalyptic number.

1059630 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 1059630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581120).

1059630 is an abundant number, since it is smaller than the sum of its proper divisors (2102610).

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

1059630 is a wasteful number, since it uses less digits than its factorization.

1059630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1059630 is about 1029.3833105311. The cubic root of 1059630 is about 101.9494174420.

The spelling of 1059630 in words is "one million, fifty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 169 190 195 209 247 285 286 330 338 390 418 429 494 507 570 627 715 741 845 858 1014 1045 1235 1254 1430 1482 1690 1859 2090 2145 2470 2535 2717 3135 3211 3705 3718 4290 5070 5434 5577 6270 6422 7410 8151 9295 9633 11154 13585 16055 16302 18590 19266 27170 27885 32110 35321 40755 48165 55770 70642 81510 96330 105963 176605 211926 353210 529815 1059630