Search a number
-
+
605053632 = 26319612719
BaseRepresentation
bin100100000100000…
…110001011000000
31120011111220112210
4210010012023000
52214343204012
6140012222120
720664604521
oct4404061300
91504456483
10605053632
1129059a827
1214a76a940
1398477c01
145a500848
15381ba23c
hex241062c0

605053632 has 112 divisors (see below), whose sum is σ = 1713382400. Its totient is φ = 187868160.

The previous prime is 605053627. The next prime is 605053643. The reversal of 605053632 is 236350506.

It is a self number, because there is not a number n which added to its sum of digits gives 605053632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221169 + ... + 223887.

Almost surely, 2605053632 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 605053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856691200).

605053632 is an abundant number, since it is smaller than the sum of its proper divisors (1108328768).

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

605053632 is a wasteful number, since it uses less digits than its factorization.

605053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 605053632 is about 24597.8379537715. The cubic root of 605053632 is about 845.7940469661.

The spelling of 605053632 in words is "six hundred five million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 366 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2719 2928 3477 3648 3904 4636 5438 5856 6954 8157 9272 10876 11712 13908 16314 18544 21752 27816 32628 37088 43504 51661 55632 65256 74176 87008 103322 111264 130512 154983 165859 174016 206644 222528 261024 309966 331718 413288 497577 522048 619932 663436 826576 995154 1239864 1326872 1653152 1990308 2479728 2653744 3151321 3306304 3980616 4959456 5307488 6302642 7961232 9453963 9918912 10614976 12605284 15922464 18907926 25210568 31844928 37815852 50421136 75631704 100842272 151263408 201684544 302526816 605053632