Search a number
-
+
27957240 = 2332577659
BaseRepresentation
bin110101010100…
…1011111111000
31221121101010100
41222221133320
524124112430
62435115400
7456426663
oct152513770
957541110
1027957240
1114865763
129442b60
135a3b25c
1439da6da
1526c3960
hex1aa97f8

27957240 has 48 divisors (see below), whose sum is σ = 90862200. Its totient is φ = 7455168.

The previous prime is 27957233. The next prime is 27957263. The reversal of 27957240 is 4275972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27957195 and 27957204.

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, 38470 + ... + 39189.

Almost surely, 227957240 is an apocalyptic number.

27957240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27957240 is an abundant number, since it is smaller than the sum of its proper divisors (62904960).

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

27957240 is a wasteful number, since it uses less digits than its factorization.

27957240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77676 (or 77669 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27957240 is about 5287.4606381514. The cubic root of 27957240 is about 303.5042415952.

The spelling of 27957240 in words is "twenty-seven million, nine hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 77659 155318 232977 310636 388295 465954 621272 698931 776590 931908 1164885 1397862 1553180 1863816 2329770 2795724 3106360 3494655 4659540 5591448 6989310 9319080 13978620 27957240