Search a number
-
+
1006661016 = 233231451013
BaseRepresentation
bin111100000000000…
…110110110011000
32121011012200022100
4330000012312120
54030201123031
6243520123400
733642322524
oct7400066630
92534180270
101006661016
11477263359
12241166560
1313073000a
14979a2d84
155d599de6
hex3c006d98

1006661016 has 48 divisors (see below), whose sum is σ = 2814327360. Its totient is φ = 324728640.

The previous prime is 1006660999. The next prime is 1006661039. The reversal of 1006661016 is 6101666001.

It is a super-2 number, since 2×10066610162 = 2026732802268304512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223275 + ... + 227738.

It is an arithmetic number, because the mean of its divisors is an integer number (58631820).

Almost surely, 21006661016 is an apocalyptic number.

It is an amenable number.

1006661016 is an abundant number, since it is smaller than the sum of its proper divisors (1807666344).

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

1006661016 is a wasteful number, since it uses less digits than its factorization.

1006661016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451056 (or 451049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1006661016 is about 31727.9217094344. The cubic root of 1006661016 is about 1002.2154269257.

The spelling of 1006661016 in words is "one billion, six million, six hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 451013 902026 1353039 1804052 2706078 3608104 4059117 5412156 8118234 10824312 13981403 16236468 27962806 32472936 41944209 55925612 83888418 111851224 125832627 167776836 251665254 335553672 503330508 1006661016