Search a number
-
+
1006066140 = 223553316373
BaseRepresentation
bin111011111101110…
…101100111011100
32121010002110021220
4323331311213130
54030023104030
6243455253340
733634264302
oct7375654734
92533073256
101006066140
11476997422
12240b1a250
13130582311
149788a272
155d4cda10
hex3bf759dc

1006066140 has 48 divisors (see below), whose sum is σ = 2870144928. Its totient is φ = 263221504.

The previous prime is 1006066129. The next prime is 1006066147. The reversal of 1006066140 is 416606001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006066140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006066147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155007 + ... + 161366.

It is an arithmetic number, because the mean of its divisors is an integer number (59794686).

Almost surely, 21006066140 is an apocalyptic number.

1006066140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006066140 is an abundant number, since it is smaller than the sum of its proper divisors (1864078788).

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

1006066140 is a wasteful number, since it uses less digits than its factorization.

1006066140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316438 (or 316436 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1006066140 is about 31718.5456791449. The cubic root of 1006066140 is about 1002.0179717176.

The spelling of 1006066140 in words is "one billion, six million, sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 316373 632746 949119 1265492 1581865 1898238 3163730 3796476 4745595 6327460 9491190 16767769 18982380 33535538 50303307 67071076 83838845 100606614 167677690 201213228 251516535 335355380 503033070 1006066140