Search a number
-
+
30057696 = 2533191831
BaseRepresentation
bin111001010101…
…0010011100000
32002120002102000
41302222103200
530143321241
62552124000
7513325524
oct162522340
962502360
1030057696
1115a6a879
12a096600
1362c5326
143dc5d84
15298aeb6
hex1caa4e0

30057696 has 96 divisors (see below), whose sum is σ = 92332800. Its totient is φ = 9486720.

The previous prime is 30057673. The next prime is 30057697. The reversal of 30057696 is 69675003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30057696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30057697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15501 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (961800).

Almost surely, 230057696 is an apocalyptic number.

30057696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46166400).

30057696 is an abundant number, since it is smaller than the sum of its proper divisors (62275104).

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

30057696 is a wasteful number, since it uses less digits than its factorization.

30057696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 30057696 is about 5482.4899452712. The cubic root of 30057696 is about 310.9223173533.

It can be divided in two parts, 3005 and 7696, that added together give a palindrome (10701).

The spelling of 30057696 in words is "thirty million, fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 1831 2052 2736 3662 4104 5472 5493 7324 8208 10986 14648 16416 16479 21972 29296 32958 34789 43944 49437 58592 65916 69578 87888 98874 104367 131832 139156 175776 197748 208734 263664 278312 313101 395496 417468 527328 556624 626202 790992 834936 939303 1113248 1252404 1581984 1669872 1878606 2504808 3339744 3757212 5009616 7514424 10019232 15028848 30057696