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5640192 = 2123417
BaseRepresentation
bin10101100001000000000000
3101121112220000
4111201000000
52420441232
6320520000
765640465
oct25410000
911545800
105640192
113202618
121a80000
1312262bc
14a6b66c
1576627c
hex561000

5640192 has 130 divisors (see below), whose sum is σ = 17839998. Its totient is φ = 1769472.

The previous prime is 5640163. The next prime is 5640211. The reversal of 5640192 is 2910465.

5640192 is a `hidden beast` number, since 5 + 640 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 331776 = 2304^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331768 + ... + 331784.

Almost surely, 25640192 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 5640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919999).

5640192 is an abundant number, since it is smaller than the sum of its proper divisors (12199806).

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

5640192 is an equidigital number, since it uses as much as digits as its factorization.

5640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5640192 is about 2374.9088403558. The cubic root of 5640192 is about 178.0046289248.

It can be divided in two parts, 5640 and 192, that added together give a cube (5832 = 183).

The spelling of 5640192 in words is "five million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 256 272 288 306 324 384 408 432 459 512 544 576 612 648 768 816 864 918 1024 1088 1152 1224 1296 1377 1536 1632 1728 1836 2048 2176 2304 2448 2592 2754 3072 3264 3456 3672 4096 4352 4608 4896 5184 5508 6144 6528 6912 7344 8704 9216 9792 10368 11016 12288 13056 13824 14688 17408 18432 19584 20736 22032 26112 27648 29376 34816 36864 39168 41472 44064 52224 55296 58752 69632 78336 82944 88128 104448 110592 117504 156672 165888 176256 208896 235008 313344 331776 352512 470016 626688 705024 940032 1410048 1880064 2820096 5640192