Search a number
-
+
5940072 = 23321723211
BaseRepresentation
bin10110101010001101101000
3102011210020200
4112222031220
53010040242
6331152200
7101326665
oct26521550
912153220
105940072
113397956
121ba5660
1312cc948
14b08a6c
157c504c
hex5aa368

5940072 has 96 divisors (see below), whose sum is σ = 17858880. Its totient is φ = 1774080.

The previous prime is 5940047. The next prime is 5940097. The reversal of 5940072 is 2700495.

5940072 is a `hidden beast` number, since 594 + 0 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (5940047) and next prime (5940097).

It is an Ulam number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28047 + ... + 28257.

It is an arithmetic number, because the mean of its divisors is an integer number (186030).

Almost surely, 25940072 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 5940072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929440).

5940072 is an abundant number, since it is smaller than the sum of its proper divisors (11918808).

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

5940072 is a wasteful number, since it uses less digits than its factorization.

5940072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5940072 is about 2437.2262923249. The cubic root of 5940072 is about 181.1050538356.

The spelling of 5940072 in words is "five million, nine hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 211 276 306 391 408 414 422 552 612 633 782 828 844 1173 1224 1266 1564 1656 1688 1899 2346 2532 3128 3519 3587 3798 4692 4853 5064 7038 7174 7596 9384 9706 10761 14076 14348 14559 15192 19412 21522 28152 28696 29118 32283 38824 43044 43677 58236 64566 82501 86088 87354 116472 129132 165002 174708 247503 258264 330004 349416 495006 660008 742509 990012 1485018 1980024 2970036 5940072