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147242634 = 23711476781
BaseRepresentation
bin10001100011010…
…11111010001010
3101021001200220220
420301223322022
5300143231014
622335530510
73435353550
oct1061537212
9337050826
10147242634
1176129630
1241389a36
1324674b26
14157abbd0
15cdd76a9
hex8c6be8a

147242634 has 64 divisors (see below), whose sum is σ = 375017472. Its totient is φ = 37425600.

The previous prime is 147242633. The next prime is 147242659. The reversal of 147242634 is 436242741.

147242634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 147242595 and 147242604.

It is not an unprimeable number, because it can be changed into a prime (147242633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18324 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (5859648).

Almost surely, 2147242634 is an apocalyptic number.

147242634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147242634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187508736).

147242634 is an abundant number, since it is smaller than the sum of its proper divisors (227774838).

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

147242634 is a wasteful number, since it uses less digits than its factorization.

147242634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851.

The product of its digits is 32256, while the sum is 33.

The square root of 147242634 is about 12134.3575849733. The cubic root of 147242634 is about 528.0534194689.

The spelling of 147242634 in words is "one hundred forty-seven million, two hundred forty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 6781 7238 10857 13562 20343 21714 40686 47467 74591 94934 142401 149182 223773 284802 318707 447546 522137 637414 956121 1044274 1566411 1912242 2230949 3132822 3505777 4461898 6692847 7011554 10517331 13385694 21034662 24540439 49080878 73621317 147242634