Search a number
-
+
1040827080 = 233512177127
BaseRepresentation
bin111110000010011…
…100001011001000
32200112111111100010
4332002130023020
54112422431310
6251140311520
734535612166
oct7602341310
92615444303
101040827080
11494579877
122506a25a0
13137833317
149c338236
1561598320
hex3e09c2c8

1040827080 has 64 divisors (see below), whose sum is σ = 3125485440. Its totient is φ = 277286912.

The previous prime is 1040827069. The next prime is 1040827093. The reversal of 1040827080 is 807280401.

It is a super-3 number, since 3×10408270803 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142477 + ... + 149603.

It is an arithmetic number, because the mean of its divisors is an integer number (48835710).

Almost surely, 21040827080 is an apocalyptic number.

1040827080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040827080 is an abundant number, since it is smaller than the sum of its proper divisors (2084658360).

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

1040827080 is a wasteful number, since it uses less digits than its factorization.

1040827080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1040827080 is about 32261.8517757428. The cubic root of 1040827080 is about 1013.4279108209.

The spelling of 1040827080 in words is "one billion, forty million, eight hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1217 2434 3651 4868 6085 7127 7302 9736 12170 14254 14604 18255 21381 24340 28508 29208 35635 36510 42762 48680 57016 71270 73020 85524 106905 142540 146040 171048 213810 285080 427620 855240 8673559 17347118 26020677 34694236 43367795 52041354 69388472 86735590 104082708 130103385 173471180 208165416 260206770 346942360 520413540 1040827080