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147338620 = 225111351517
BaseRepresentation
bin10001100100000…
…11010101111100
3101021020120120221
420302003111330
5300204313440
622341551124
73436233442
oct1062032574
9337216527
10147338620
1176194760
12414154a4
13246a9720
14157d4b92
15ce05d4a
hex8c8357c

147338620 has 48 divisors (see below), whose sum is σ = 363511008. Its totient is φ = 49455360.

The previous prime is 147338617. The next prime is 147338623. The reversal of 147338620 is 26833741.

It is a happy number.

147338620 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 (147338617) and next prime (147338623).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147338623) 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, 22899 + ... + 28618.

It is an arithmetic number, because the mean of its divisors is an integer number (7573146).

Almost surely, 2147338620 is an apocalyptic number.

147338620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147338620 is an abundant number, since it is smaller than the sum of its proper divisors (216172388).

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

147338620 is a wasteful number, since it uses less digits than its factorization.

147338620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51550 (or 51548 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 147338620 is about 12138.3120737605. The cubic root of 147338620 is about 528.1681387915.

The spelling of 147338620 in words is "one hundred forty-seven million, three hundred thirty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 51517 103034 206068 257585 515170 566687 669721 1030340 1133374 1339442 2266748 2678884 2833435 3348605 5666870 6697210 7366931 11333740 13394420 14733862 29467724 36834655 73669310 147338620