Search a number
-
+
147157340 = 22511838059
BaseRepresentation
bin10001100010101…
…11000101011100
3101020220100220212
420301113011130
5300133013330
622334031552
73434550101
oct1061270534
9336810825
10147157340
1176080540
12413485b8
1324645065
1415788aa8
15cdbc295
hex8c5715c

147157340 has 48 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 52860480.

The previous prime is 147157333. The next prime is 147157343. The reversal of 147157340 is 43751741.

It is a junction number, because it is equal to n+sod(n) for n = 147157297 and 147157306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147157343) by changing a digit.

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, 14231 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2147157340 is an apocalyptic number.

147157340 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 147157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

147157340 is an abundant number, since it is smaller than the sum of its proper divisors (194070820).

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

147157340 is a wasteful number, since it uses less digits than its factorization.

147157340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 147157340 is about 12130.8425099001. The cubic root of 147157340 is about 527.9514370319.

The spelling of 147157340 in words is "one hundred forty-seven million, one hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 8059 9130 16118 18260 32236 40295 80590 88649 161180 177298 354596 443245 668897 886490 1337794 1772980 2675588 3344485 6688970 7357867 13377940 14715734 29431468 36789335 73578670 147157340