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5432040 = 2332579191
BaseRepresentation
bin10100101110001011101000
3101012222100200
4110232023220
52342311130
6312232200
764112565
oct24561350
911188320
105432040
113080199
12199b660
131182633
14a1586c
15724760
hex52e2e8

5432040 has 96 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1422720.

The previous prime is 5432039. The next prime is 5432047. The reversal of 5432040 is 402345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5432047) 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 23 ways as a sum of consecutive naturals, for example, 28345 + ... + 28535.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 25432040 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 5432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

5432040 is an abundant number, since it is smaller than the sum of its proper divisors (12539160).

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

5432040 is a wasteful number, since it uses less digits than its factorization.

5432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5432040 is about 2330.6737223387. The cubic root of 5432040 is about 175.7873637281.

Adding to 5432040 its reverse (402345), we get a palindrome (5834385).

The spelling of 5432040 in words is "five million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 191 237 316 360 382 395 474 573 632 711 764 790 948 955 1146 1185 1422 1528 1580 1719 1896 1910 2292 2370 2844 2865 3160 3438 3555 3820 4584 4740 5688 5730 6876 7110 7640 8595 9480 11460 13752 14220 15089 17190 22920 28440 30178 34380 45267 60356 68760 75445 90534 120712 135801 150890 181068 226335 271602 301780 362136 452670 543204 603560 679005 905340 1086408 1358010 1810680 2716020 5432040