Search a number
-
+
5340965940 = 2232529672033
BaseRepresentation
bin1001111100101100…
…01010110000110100
3111210012222011220100
410332112022300310
541414241402230
62241551234100
7246232314162
oct47626126064
914705864810
105340965940
1122a0921842
121050818930
136716a0a9b
1438949a232
15213d58660
hex13e58ac34

5340965940 has 36 divisors (see below), whose sum is σ = 16200930564. Its totient is φ = 1424257536.

The previous prime is 5340965923. The next prime is 5340965963. The reversal of 5340965940 is 495690435.

5340965940 is a `hidden beast` number, since 53 + 4 + 0 + 9 + 6 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3893011236 + 1447954704 = 62394^2 + 38052^2 .

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 (45).

It is a congruent number.

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, 14835837 + ... + 14836196.

It is an arithmetic number, because the mean of its divisors is an integer number (450025849).

Almost surely, 25340965940 is an apocalyptic number.

It is an amenable number.

5340965940 is an abundant number, since it is smaller than the sum of its proper divisors (10859964624).

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

5340965940 is a wasteful number, since it uses less digits than its factorization.

5340965940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29672048 (or 29672043 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5340965940 is about 73081.9125365504. The cubic root of 5340965940 is about 1747.9939942053.

The spelling of 5340965940 in words is "five billion, three hundred forty million, nine hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 29672033 59344066 89016099 118688132 148360165 178032198 267048297 296720330 356064396 445080495 534096594 593440660 890160990 1068193188 1335241485 1780321980 2670482970 5340965940