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147068240 = 24511215193
BaseRepresentation
bin10001100010000…
…01010101010000
3101020201211200212
420301001111100
5300122140430
622332103252
73434026244
oct1061012520
9336654625
10147068240
117601a600
1241304b28
1324613637
1415764424
15cda0b95
hex8c41550

147068240 has 60 divisors (see below), whose sum is σ = 375869172. Its totient is φ = 53475840.

The previous prime is 147068239. The next prime is 147068249. The reversal of 147068240 is 42860741.

147068240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109662784 + 37405456 = 10472^2 + 6116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147068197 and 147068206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147068249) 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, 2084 + ... + 17276.

Almost surely, 2147068240 is an apocalyptic number.

147068240 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 147068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187934586).

147068240 is an abundant number, since it is smaller than the sum of its proper divisors (228800932).

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

147068240 is a wasteful number, since it uses less digits than its factorization.

147068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 147068240 is about 12127.1694966303. The cubic root of 147068240 is about 527.8448618288.

The spelling of 147068240 in words is "one hundred forty-seven million, sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 15193 30386 60772 75965 121544 151930 167123 243088 303860 334246 607720 668492 835615 1215440 1336984 1671230 1838353 2673968 3342460 3676706 6684920 7353412 9191765 13369840 14706824 18383530 29413648 36767060 73534120 147068240