Search a number
-
+
6074432 = 267213149
BaseRepresentation
bin10111001011000001000000
3102102121112222
4113023001000
53023340212
6334110212
7102426500
oct27130100
912377488
106074432
1134798a1
12204b368
131348b50
14b41a00
157eec72
hex5cb040

6074432 has 84 divisors (see below), whose sum is σ = 15201900. Its totient is φ = 2386944.

The previous prime is 6074429. The next prime is 6074447. The reversal of 6074432 is 2344706.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 5271616 = 896^2 + 2296^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40694 + ... + 40842.

It is an arithmetic number, because the mean of its divisors is an integer number (180975).

Almost surely, 26074432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600950).

6074432 is an abundant number, since it is smaller than the sum of its proper divisors (9127468).

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

6074432 is a wasteful number, since it uses less digits than its factorization.

6074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 6074432 is about 2464.6362814825. The cubic root of 6074432 is about 182.4603729562.

The spelling of 6074432 in words is "six million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 149 182 196 208 224 298 364 392 416 448 596 637 728 784 832 1043 1192 1274 1456 1568 1937 2086 2384 2548 2912 3136 3874 4172 4768 5096 5824 7301 7748 8344 9536 10192 13559 14602 15496 16688 20384 27118 29204 30992 33376 40768 54236 58408 61984 66752 94913 108472 116816 123968 189826 216944 233632 379652 433888 467264 759304 867776 1518608 3037216 6074432