Search a number
-
+
147714192 = 2434293389
BaseRepresentation
bin10001100110111…
…11000010010000
3101021221122210000
420303133002100
5300303323232
622354010000
73442356423
oct1063370220
9337848700
10147714192
117642094a
1241576900
13247ab662
14158919ba
15ce7c27c
hex8cdf090

147714192 has 100 divisors (see below), whose sum is σ = 430089660. Its totient is φ = 48943872.

The previous prime is 147714181. The next prime is 147714199. The reversal of 147714192 is 291417741.

147714192 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 93779856 + 53934336 = 9684^2 + 7344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147714199) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379534 + ... + 379922.

Almost surely, 2147714192 is an apocalyptic number.

147714192 is a gapful number since it is divisible by the number (12) 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 147714192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215044830).

147714192 is an abundant number, since it is smaller than the sum of its proper divisors (282375468).

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

147714192 is a wasteful number, since it uses less digits than its factorization.

147714192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 147714192 is about 12153.7727475875. The cubic root of 147714192 is about 528.6165318777.

The spelling of 147714192 in words is "one hundred forty-seven million, seven hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 293 324 389 432 586 648 778 879 1167 1172 1296 1556 1758 2334 2344 2637 3112 3501 3516 4668 4688 5274 6224 7002 7032 7911 9336 10503 10548 14004 14064 15822 18672 21006 21096 23733 28008 31509 31644 42012 42192 47466 56016 63018 63288 84024 94932 113977 126036 126576 168048 189864 227954 252072 341931 379728 455908 504144 683862 911816 1025793 1367724 1823632 2051586 2735448 3077379 4103172 5470896 6154758 8206344 9232137 12309516 16412688 18464274 24619032 36928548 49238064 73857096 147714192