Search a number
-
+
1006424232 = 233113812213
BaseRepresentation
bin111011111111001…
…101000010101000
32121010202122111120
4323333031002220
54030121033412
6243511055240
733640315302
oct7377150250
92533678446
101006424232
11477111470
12241071520
131306792c8
1497940972
155d54eb8c
hex3bfcd0a8

1006424232 has 32 divisors (see below), whose sum is σ = 2744794080. Its totient is φ = 304976960.

The previous prime is 1006424231. The next prime is 1006424311. The reversal of 1006424232 is 2324246001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1006424231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905843 + ... + 1906370.

It is an arithmetic number, because the mean of its divisors is an integer number (85774815).

Almost surely, 21006424232 is an apocalyptic number.

1006424232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006424232 is an abundant number, since it is smaller than the sum of its proper divisors (1738369848).

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

1006424232 is a wasteful number, since it uses less digits than its factorization.

1006424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812233 (or 3812229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1006424232 is about 31724.1900133006. The cubic root of 1006424232 is about 1002.1368413235.

The spelling of 1006424232 in words is "one billion, six million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3812213 7624426 11436639 15248852 22873278 30497704 41934343 45746556 83868686 91493112 125803029 167737372 251606058 335474744 503212116 1006424232