Search a number
-
+
147771540 = 22345783157
BaseRepresentation
bin10001100111011…
…01000010010100
3101022001120110000
420303231002110
5300312142130
622355131300
73443015550
oct1063550224
9338046400
10147771540
117645aa44
12415a3b30
13247cb7a7
14158a8860
15ce8e260
hex8ced094

147771540 has 240 divisors, whose sum is σ = 539586432. Its totient is φ = 33156864.

The previous prime is 147771511. The next prime is 147771541. The reversal of 147771540 is 45177741.

147771540 is a `hidden beast` number, since 1 + 47 + 7 + 71 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 147771495 and 147771504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147771541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 941142 + ... + 941298.

Almost surely, 2147771540 is an apocalyptic number.

147771540 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 147771540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269793216).

147771540 is an abundant number, since it is smaller than the sum of its proper divisors (391814892).

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

147771540 is a wasteful number, since it uses less digits than its factorization.

147771540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 147771540 is about 12156.1317860576. The cubic root of 147771540 is about 528.6849323885.

The spelling of 147771540 in words is "one hundred forty-seven million, seven hundred seventy-one thousand, five hundred forty".