Search a number
-
+
30197574 = 232111923349
BaseRepresentation
bin111001100110…
…0011101000110
32002211012021200
41303030131012
530212310244
62555123330
7514450401
oct163143506
962735250
1030197574
1116055980
12a143546
136343bb4
144020d38
1529b7669
hex1ccc746

30197574 has 96 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8268480.

The previous prime is 30197569. The next prime is 30197579. The reversal of 30197574 is 47579103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30197569) and next prime (30197579).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30197579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86352 + ... + 86700.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 230197574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30197574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

30197574 is an abundant number, since it is smaller than the sum of its proper divisors (48426426).

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

30197574 is a wasteful number, since it uses less digits than its factorization.

30197574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 30197574 is about 5495.2319332308. The cubic root of 30197574 is about 311.4038790087.

The spelling of 30197574 in words is "thirty million, one hundred ninety-seven thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 23 33 38 46 57 66 69 99 114 138 171 198 207 209 253 342 349 414 418 437 506 627 698 759 874 1047 1254 1311 1518 1881 2094 2277 2622 3141 3762 3839 3933 4554 4807 6282 6631 7678 7866 8027 9614 11517 13262 14421 16054 19893 23034 24081 28842 34551 39786 43263 48162 59679 69102 72243 72941 86526 88297 119358 144486 145882 152513 176594 218823 264891 305026 437646 457539 529782 656469 794673 915078 1312938 1372617 1589346 1677643 2745234 3355286 5032929 10065858 15098787 30197574