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30151264 = 2511213599
BaseRepresentation
bin111001100000…
…1001001100000
32002201211202111
41303001021200
530204320024
62554125104
7514165363
oct163011140
962654674
1030151264
1116024100
12a120794
136328ab0
14400c0da
1529a8a94
hex1cc1260

30151264 has 72 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 12629760.

The previous prime is 30151259. The next prime is 30151279. The reversal of 30151264 is 46215103.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 50037 + ... + 50635.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 230151264 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 30151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

30151264 is an abundant number, since it is smaller than the sum of its proper divisors (40232336).

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

30151264 is a wasteful number, since it uses less digits than its factorization.

30151264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 30151264 is about 5491.0166636061. The cubic root of 30151264 is about 311.2446113377.

Adding to 30151264 its reverse (46215103), we get a palindrome (76366367).

The spelling of 30151264 in words is "thirty million, one hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 599 968 1144 1198 1573 1936 2288 2396 3146 3872 4576 4792 6292 6589 7787 9584 12584 13178 15574 19168 25168 26356 31148 50336 52712 62296 72479 85657 105424 124592 144958 171314 210848 249184 289916 342628 579832 685256 942227 1159664 1370512 1884454 2319328 2741024 3768908 7537816 15075632 30151264