Search a number
-
+
7405164 = 22321315823
BaseRepresentation
bin11100001111111001101100
3111221012222100
4130033321230
53343431124
6422415100
7116641254
oct34177154
914835870
107405164
1141a8678
122591490
1316c3770
14daa964
159b41c9
hex70fe6c

7405164 has 36 divisors (see below), whose sum is σ = 20159776. Its totient is φ = 2278368.

The previous prime is 7405163. The next prime is 7405199. The reversal of 7405164 is 4615047.

7405164 = T315 + T316 + ... + T422.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7405163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7444 + ... + 8379.

Almost surely, 27405164 is an apocalyptic number.

It is an amenable number.

7405164 is an abundant number, since it is smaller than the sum of its proper divisors (12754612).

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

7405164 is a wasteful number, since it uses less digits than its factorization.

7405164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15841 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7405164 is about 2721.2430982917. The cubic root of 7405164 is about 194.9148346047.

It can be divided in two parts, 7405 and 164, that added together give a square (7569 = 872).

The spelling of 7405164 in words is "seven million, four hundred five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 15823 31646 47469 63292 94938 142407 189876 205699 284814 411398 569628 617097 822796 1234194 1851291 2468388 3702582 7405164