Search a number
-
+
147364100 = 225213113357
BaseRepresentation
bin10001100100010…
…01100100000100
3101021021212112122
420302021210010
5300211122400
622342305112
73436400642
oct1062114404
9337255478
10147364100
1176201914
1241428198
13246b81c0
1415800192
15ce0d685
hex8c89904

147364100 has 36 divisors (see below), whose sum is σ = 344381604. Its totient is φ = 54410880.

The previous prime is 147364099. The next prime is 147364157. The reversal of 147364100 is 1463741.

It can be written as a sum of positive squares in 6 ways, for example, as 55472704 + 91891396 = 7448^2 + 9586^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 147364100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55379 + ... + 57978.

Almost surely, 2147364100 is an apocalyptic number.

147364100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147364100 is an abundant number, since it is smaller than the sum of its proper divisors (197017504).

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

147364100 is a wasteful number, since it uses less digits than its factorization.

147364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113384 (or 113377 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 147364100 is about 12139.3615977118. The cubic root of 147364100 is about 528.1985832839.

The spelling of 147364100 in words is "one hundred forty-seven million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 113357 226714 453428 566785 1133570 1473641 2267140 2833925 2947282 5667850 5894564 7368205 11335700 14736410 29472820 36841025 73682050 147364100