Search a number
-
+
30913650 = 2345217449
BaseRepresentation
bin111010111101…
…1010001110010
32011011120120000
41311323101302
530403214100
63022330430
7523522155
oct165732162
964146500
1030913650
11164a4979
12a429a16
136534b01
144169c9c
152aa9900
hex1d7b472

30913650 has 120 divisors (see below), whose sum is σ = 91149300. Its totient is φ = 7741440.

The previous prime is 30913621. The next prime is 30913651. The reversal of 30913650 is 5631903.

30913650 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 3 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17363889 + 13549761 = 4167^2 + 3681^2 .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30913651) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68626 + ... + 69074.

Almost surely, 230913650 is an apocalyptic number.

30913650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30913650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574650).

30913650 is an abundant number, since it is smaller than the sum of its proper divisors (60235650).

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

30913650 is a wasteful number, since it uses less digits than its factorization.

30913650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 30913650 is about 5560.0044964011. The cubic root of 30913650 is about 313.8461184955.

The spelling of 30913650 in words is "thirty million, nine hundred thirteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 449 450 459 510 675 765 810 850 898 918 1275 1347 1350 1377 1530 2025 2245 2295 2550 2694 2754 3825 4041 4050 4490 4590 6735 6885 7633 7650 8082 11225 11475 12123 13470 13770 15266 20205 22450 22899 22950 24246 33675 34425 36369 38165 40410 45798 60615 67350 68697 68850 72738 76330 101025 114495 121230 137394 181845 190825 202050 206091 228990 303075 343485 363690 381650 412182 572475 606150 618273 686970 909225 1030455 1144950 1236546 1717425 1818450 2060910 3091365 3434850 5152275 6182730 10304550 15456825 30913650