Search a number
-
+
142856640 = 2632549603
BaseRepresentation
bin10001000001111…
…01000111000000
3100221210212110200
420200331013000
5243032403030
622101525200
73353155443
oct1040750700
9327725420
10142856640
1173703343
123ba13800
132379a674
1414d8965a
15c81cd60
hex883d1c0

142856640 has 84 divisors (see below), whose sum is σ = 491377224. Its totient is φ = 38094336.

The previous prime is 142856633. The next prime is 142856647. The reversal of 142856640 is 46658241.

142856640 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 5 + 6 + 640 = 666.

142856640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142856633) and next prime (142856647).

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 = 142856595 and 142856604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142856647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21922 + ... + 27681.

Almost surely, 2142856640 is an apocalyptic number.

142856640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142856640 is an abundant number, since it is smaller than the sum of its proper divisors (348520584).

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

142856640 is a wasteful number, since it uses less digits than its factorization.

142856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49626 (or 49613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 142856640 is about 11952.2650573019. The cubic root of 142856640 is about 522.7573452047.

The spelling of 142856640 in words is "one hundred forty-two million, eight hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 49603 99206 148809 198412 248015 297618 396824 446427 496030 595236 744045 793648 892854 992060 1190472 1488090 1587296 1785708 1984120 2232135 2380944 2976180 3174592 3571416 3968240 4464270 4761888 5952360 7142832 7936480 8928540 9523776 11904720 14285664 15872960 17857080 23809440 28571328 35714160 47618880 71428320 142856640