Search a number
-
+
30064740 = 2235432271
BaseRepresentation
bin111001010110…
…0000001100100
32002120110001220
41302230001210
530144032430
62552220340
7513355206
oct162540144
962513056
1030064740
1115a750a2
12a09a6b0
1362c85b4
143dc8776
15298d110
hex1cac064

30064740 has 72 divisors (see below), whose sum is σ = 86502528. Its totient is φ = 7801920.

The previous prime is 30064739. The next prime is 30064747. The reversal of 30064740 is 4746003.

30064740 = T329 + T330 + ... + T599.

It is a self number, because there is not a number n which added to its sum of digits gives 30064740.

It is not an unprimeable number, because it can be changed into a prime (30064747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110805 + ... + 111075.

It is an arithmetic number, because the mean of its divisors is an integer number (1201424).

Almost surely, 230064740 is an apocalyptic number.

30064740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30064740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43251264).

30064740 is an abundant number, since it is smaller than the sum of its proper divisors (56437788).

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

30064740 is a wasteful number, since it uses less digits than its factorization.

30064740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30064740 is about 5483.1323164775. The cubic root of 30064740 is about 310.9466035987.

The spelling of 30064740 in words is "thirty million, sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 271 430 516 542 645 813 860 1084 1290 1355 1626 1849 2580 2710 3252 3698 4065 5420 5547 7396 8130 9245 11094 11653 16260 18490 22188 23306 27735 34959 36980 46612 55470 58265 69918 110940 116530 139836 174795 233060 349590 501079 699180 1002158 1503237 2004316 2505395 3006474 5010790 6012948 7516185 10021580 15032370 30064740