Search a number
-
+
613601142 = 237114367461
BaseRepresentation
bin100100100100101…
…100111101110110
31120202121011112020
4210210230331312
52224040214032
6140515334010
721130344420
oct4444547566
91522534466
10613601142
112953a8690
121515b1306
139a17b5cb
145b6c7810
1538d07b2c
hex2492cf76

613601142 has 128 divisors (see below), whose sum is σ = 1592414208. Its totient is φ = 153014400.

The previous prime is 613601129. The next prime is 613601161. The reversal of 613601142 is 241106316.

It is a super-2 number, since 2×6136011422 = 753012722927408328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330792 + ... + 1331252.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2613601142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613601142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796207104).

613601142 is an abundant number, since it is smaller than the sum of its proper divisors (978813066).

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

613601142 is a wasteful number, since it uses less digits than its factorization.

613601142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 613601142 is about 24770.9737798093. The cubic root of 613601142 is about 849.7582435877.

Adding to 613601142 its reverse (241106316), we get a palindrome (854707458).

The spelling of 613601142 in words is "six hundred thirteen million, six hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 67 77 86 129 134 154 201 231 258 301 402 461 462 469 473 602 737 903 922 938 946 1383 1407 1419 1474 1806 2211 2766 2814 2838 2881 3227 3311 4422 5071 5159 5762 6454 6622 8643 9681 9933 10142 10318 15213 15477 17286 19362 19823 19866 20167 30426 30887 30954 31691 35497 39646 40334 59469 60501 61774 63382 70994 92661 95073 106491 118938 121002 138761 185322 190146 212982 216209 218053 221837 277522 339757 416283 432418 436106 443674 648627 654159 665511 679514 832566 1019271 1297254 1308318 1328141 1331022 1526371 2038542 2378299 2656282 3052742 3984423 4579113 4756598 7134897 7968846 9158226 9296987 14269794 14609551 18593974 27890961 29219102 43828653 55781922 87657306 102266857 204533714 306800571 613601142