Search a number
-
+
30859136 = 2771131101
BaseRepresentation
bin111010110110…
…1111110000000
32011001210202222
41311231332000
530344443021
63021230212
7523204220
oct165557600
964053688
1030859136
1116467a20
12a402368
136516059
144154080
152a986ab
hex1d6df80

30859136 has 128 divisors (see below), whose sum is σ = 79902720. Its totient is φ = 11520000.

The previous prime is 30859111. The next prime is 30859141. The reversal of 30859136 is 63195803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 30859096 and 30859105.

It is a congruent number.

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, 305486 + ... + 305586.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 230859136 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 30859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39951360).

30859136 is an abundant number, since it is smaller than the sum of its proper divisors (49043584).

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

30859136 is a wasteful number, since it uses less digits than its factorization.

30859136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 30859136 is about 5555.0999990999. The cubic root of 30859136 is about 313.6615282578.

It can be divided in two parts, 3085 and 9136, that added together give a palindrome (12221).

The spelling of 30859136 in words is "thirty million, eight hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 101 112 124 128 154 176 202 217 224 248 308 341 352 404 434 448 496 616 682 704 707 808 868 896 992 1111 1232 1364 1408 1414 1616 1736 1984 2222 2387 2464 2728 2828 3131 3232 3472 3968 4444 4774 4928 5456 5656 6262 6464 6944 7777 8888 9548 9856 10912 11312 12524 12928 13888 15554 17776 19096 21824 21917 22624 25048 27776 31108 34441 35552 38192 43648 43834 45248 50096 62216 68882 71104 76384 87668 90496 100192 124432 137764 142208 152768 175336 200384 241087 248864 275528 305536 350672 400768 482174 497728 551056 701344 964348 995456 1102112 1402688 1928696 2204224 2805376 3857392 4408448 7714784 15429568 30859136