Search a number
-
+
607005264 = 2431729113227
BaseRepresentation
bin100100001011100…
…010101001010000
31120022012001200110
4210023202221100
52220343132024
6140122121320
721020313435
oct4413425120
91508161613
10607005264
11291703048
1214b350240
13989ac318
145a88bb8c
1538453629
hex242e2a50

607005264 has 160 divisors (see below), whose sum is σ = 1740424320. Its totient is φ = 181436416.

The previous prime is 607005251. The next prime is 607005271. The reversal of 607005264 is 462500706.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2673919 + ... + 2674145.

It is an arithmetic number, because the mean of its divisors is an integer number (10877652).

Almost surely, 2607005264 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 607005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870212160).

607005264 is an abundant number, since it is smaller than the sum of its proper divisors (1133419056).

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

607005264 is a wasteful number, since it uses less digits than its factorization.

607005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 607005264 is about 24637.4768188628. The cubic root of 607005264 is about 846.7024552077.

The spelling of 607005264 in words is "six hundred seven million, five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 113 116 136 174 204 226 227 232 272 339 348 408 452 454 464 493 678 681 696 816 904 908 986 1356 1362 1392 1479 1808 1816 1921 1972 2712 2724 2958 3277 3632 3842 3859 3944 5424 5448 5763 5916 6554 6583 7684 7718 7888 9831 10896 11526 11577 11832 13108 13166 15368 15436 19662 19749 23052 23154 23664 25651 26216 26332 30736 30872 39324 39498 46104 46308 51302 52432 52664 55709 61744 76953 78648 78996 92208 92616 102604 105328 111418 111911 153906 157296 157992 167127 185232 205208 222836 223822 307812 315984 334254 335733 410416 436067 445672 447644 615624 668508 671466 743879 872134 891344 895288 1231248 1308201 1337016 1342932 1487758 1744268 1790576 2231637 2616402 2674032 2685864 2975516 3488536 4463274 5232804 5371728 5951032 6977072 8926548 10465608 11902064 12645943 17853096 20931216 25291886 35706192 37937829 50583772 75875658 101167544 151751316 202335088 303502632 607005264