Search a number
-
+
147411630 = 2335796911
BaseRepresentation
bin10001100100101…
…01001010101110
3101021101021202000
420302111022232
5300214133010
622343313130
73436656342
oct1062251256
9337337660
10147411630
11762345a3
124144b7a6
1324703a22
1415813622
15ce1c7c0
hex8c952ae

147411630 has 64 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 38806560.

The previous prime is 147411629. The next prime is 147411631. The reversal of 147411630 is 36114741.

It is a happy number.

147411630 is a `hidden beast` number, since 14 + 7 + 4 + 11 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (147411629) and next prime (147411631).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 147411594 and 147411603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147411631) 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 31 ways as a sum of consecutive naturals, for example, 17875 + ... + 24785.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2147411630 is an apocalyptic number.

147411630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147411630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

147411630 is an abundant number, since it is smaller than the sum of its proper divisors (250719570).

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

147411630 is a wasteful number, since it uses less digits than its factorization.

147411630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 147411630 is about 12141.3191210840. The cubic root of 147411630 is about 528.2553645941.

The spelling of 147411630 in words is "one hundred forty-seven million, four hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 4266 6911 7110 10665 13822 20733 21330 34555 41466 62199 69110 103665 124398 186597 207330 310995 373194 545969 621990 932985 1091938 1637907 1865970 2729845 3275814 4913721 5459690 8189535 9827442 14741163 16379070 24568605 29482326 49137210 73705815 147411630