Search a number
-
+
1146202640 = 245112116173
BaseRepresentation
bin100010001010001…
…1010101000010000
32221212210010102122
41010110122220100
54321411441030
6305423033412
740255363442
oct10424325020
92855703378
101146202640
11539002010
1227ba3b868
1315360981b
14ac328492
156a9608e5
hex4451aa10

1146202640 has 80 divisors (see below), whose sum is σ = 2921438016. Its totient is φ = 414758400.

The previous prime is 1146202637. The next prime is 1146202669. The reversal of 1146202640 is 462026411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182594 + ... + 188766.

Almost surely, 21146202640 is an apocalyptic number.

1146202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460719008).

1146202640 is an abundant number, since it is smaller than the sum of its proper divisors (1775235376).

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

1146202640 is a wasteful number, since it uses less digits than its factorization.

1146202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1146202640 is about 33855.6146008310. The cubic root of 1146202640 is about 1046.5351063676.

It can be divided in two parts, 1 and 146202640, that added together give a palindrome (146202641).

The spelling of 1146202640 in words is "one billion, one hundred forty-six million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 211 220 422 440 844 880 1055 1688 2110 2321 3376 4220 4642 6173 8440 9284 11605 12346 16880 18568 23210 24692 30865 37136 46420 49384 61730 67903 92840 98768 123460 135806 185680 246920 271612 339515 493840 543224 679030 1086448 1302503 1358060 2605006 2716120 5210012 5432240 6512515 10420024 13025030 14327533 20840048 26050060 28655066 52100120 57310132 71637665 104200240 114620264 143275330 229240528 286550660 573101320 1146202640