Search a number
-
+
1004201088 = 27311237737
BaseRepresentation
bin111011110110101…
…110010010000000
32120222120200220220
4323312232102000
54024033413323
6243351303040
733612365652
oct7366562200
92528520826
101004201088
11475933160
1224037aa80
1313007b437
14975226d2
155d2610e3
hex3bdae480

1004201088 has 64 divisors (see below), whose sum is σ = 2909913120. Its totient is φ = 304302080.

The previous prime is 1004201087. The next prime is 1004201113. The reversal of 1004201088 is 8801024001.

1004201088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 (1004201087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114645 + ... + 123092.

Almost surely, 21004201088 is an apocalyptic number.

It is an amenable number.

1004201088 is an abundant number, since it is smaller than the sum of its proper divisors (1905712032).

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

1004201088 is a wasteful number, since it uses less digits than its factorization.

1004201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237765 (or 237753 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1004201088 is about 31689.1320171443. The cubic root of 1004201088 is about 1001.3984062152.

Adding to 1004201088 its reverse (8801024001), we get a palindrome (9805225089).

The spelling of 1004201088 in words is "one billion, four million, two hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 237737 475474 713211 950948 1426422 1901896 2615107 2852844 3803792 5230214 5705688 7607584 7845321 10460428 11411376 15215168 15690642 20920856 22822752 30430336 31381284 41841712 45645504 62762568 83683424 91291008 125525136 167366848 251050272 334733696 502100544 1004201088