Search a number
-
+
1087378272 = 25323775619
BaseRepresentation
bin100000011010000…
…0001001101100000
32210210002112120100
41000310001031200
54211332101042
6255522142400
735642364021
oct10064011540
92723075510
101087378272
11508884432
122641b1a00
131443819c6
14a45b4c48
15656e124c
hex40d01360

1087378272 has 36 divisors (see below), whose sum is σ = 3092232780. Its totient is φ = 362459328.

The previous prime is 1087378241. The next prime is 1087378283. The reversal of 1087378272 is 2728737801.

It is a happy number.

1087378272 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 378 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1887522 + ... + 1888097.

It is an arithmetic number, because the mean of its divisors is an integer number (85895355).

Almost surely, 21087378272 is an apocalyptic number.

1087378272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1087378272 is an abundant number, since it is smaller than the sum of its proper divisors (2004854508).

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

1087378272 is a wasteful number, since it uses less digits than its factorization.

1087378272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775635 (or 3775624 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 1087378272 is about 32975.4192088592. The cubic root of 1087378272 is about 1028.3166874439.

The spelling of 1087378272 in words is "one billion, eighty-seven million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3775619 7551238 11326857 15102476 22653714 30204952 33980571 45307428 60409904 67961142 90614856 120819808 135922284 181229712 271844568 362459424 543689136 1087378272