Search a number
-
+
30605526 = 2347137197
BaseRepresentation
bin111010011000…
…0000011010110
32010120220220000
41310300003112
530313334101
63011552130
7521066640
oct164600326
963526800
1030605526
1116304426
12a2bb646
1364577a3
1440c9890
152a48486
hex1d300d6

30605526 has 80 divisors (see below), whose sum is σ = 79348896. Its totient is φ = 8636544.

The previous prime is 30605521. The next prime is 30605563. The reversal of 30605526 is 62550603.

30605526 is a `hidden beast` number, since 3 + 0 + 605 + 52 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30605526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30605521) by changing a digit.

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, 155260 + ... + 155456.

Almost surely, 230605526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30605526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674448).

30605526 is an abundant number, since it is smaller than the sum of its proper divisors (48743370).

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

30605526 is a wasteful number, since it uses less digits than its factorization.

30605526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 30605526 is about 5532.2261342067. The cubic root of 30605526 is about 312.7999074988.

The spelling of 30605526 in words is "thirty million, six hundred five thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 162 189 197 274 378 394 411 567 591 822 959 1134 1182 1233 1379 1773 1918 2466 2758 2877 3546 3699 4137 5319 5754 7398 8274 8631 10638 11097 12411 15957 17262 22194 24822 25893 26989 31914 37233 51786 53978 74466 77679 80967 111699 155358 161934 188923 223398 242901 377846 485802 566769 728703 1133538 1457406 1700307 2186109 3400614 4372218 5100921 10201842 15302763 30605526