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30413136 = 24313174761
BaseRepresentation
bin111010000000…
…1000101010000
32010020010222110
41310001011100
530241210021
63003505320
7516336015
oct164010520
963203873
1030413136
1116192926
12a228240
1363bb050
14407970c
152a0b476
hex1d01150

30413136 has 160 divisors (see below), whose sum is σ = 92994048. Its totient is φ = 8478720.

The previous prime is 30413101. The next prime is 30413137. The reversal of 30413136 is 63131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30413137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498546 + ... + 498606.

Almost surely, 230413136 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 30413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

30413136 is an abundant number, since it is smaller than the sum of its proper divisors (62580912).

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

30413136 is a wasteful number, since it uses less digits than its factorization.

30413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 30413136 is about 5514.8106041822. The cubic root of 30413136 is about 312.1430967527.

Adding to 30413136 its reverse (63131403), we get a palindrome (93544539).

The spelling of 30413136 in words is "thirty million, four hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 61 68 78 94 102 104 122 136 141 156 183 188 204 208 221 244 272 282 312 366 376 408 442 488 564 611 624 663 732 752 793 799 816 884 976 1037 1128 1222 1326 1464 1586 1598 1768 1833 2074 2256 2379 2397 2444 2652 2867 2928 3111 3172 3196 3536 3666 4148 4758 4794 4888 5304 5734 6222 6344 6392 7332 8296 8601 9516 9588 9776 10387 10608 11468 12444 12688 12784 13481 14664 16592 17202 19032 19176 20774 22936 24888 26962 29328 31161 34404 37271 38064 38352 40443 41548 45872 48739 49776 53924 62322 68808 74542 80886 83096 97478 107848 111813 124644 137616 146217 149084 161772 166192 194956 215696 223626 249288 292434 298168 323544 389912 447252 498576 584868 596336 633607 647088 779824 894504 1169736 1267214 1789008 1900821 2339472 2534428 3801642 5068856 7603284 10137712 15206568 30413136