Search a number
-
+
135076644 = 223224115569
BaseRepresentation
bin10000000110100…
…01101100100100
3100102011121022200
420003101230210
5234034423034
621223054500
73230063313
oct1003215444
9312147280
10135076644
116a27a09a
12392a1430
1321ca5411
1413d2227a
15bcd2a99
hex80d1b24

135076644 has 36 divisors (see below), whose sum is σ = 342882540. Its totient is φ = 44835840.

The previous prime is 135076621. The next prime is 135076661. The reversal of 135076644 is 446670531.

It is a happy number.

135076644 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 7 + 6 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76737600 + 58339044 = 8760^2 + 7638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 135076599 and 135076608.

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, 892 + ... + 16460.

It is an arithmetic number, because the mean of its divisors is an integer number (9524515).

Almost surely, 2135076644 is an apocalyptic number.

It is an amenable number.

135076644 is an abundant number, since it is smaller than the sum of its proper divisors (207805896).

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

135076644 is a wasteful number, since it uses less digits than its factorization.

135076644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135076644 is about 11622.2478032436. The cubic root of 135076644 is about 513.0898466712.

The spelling of 135076644 in words is "one hundred thirty-five million, seventy-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 15569 31138 46707 62276 93414 140121 186828 280242 560484 3752129 7504258 11256387 15008516 22512774 33769161 45025548 67538322 135076644