Search a number
-
+
5472640 = 27517503
BaseRepresentation
bin10100111000000110000000
3101022001001101
4110320012000
52400111030
6313144144
764342135
oct24700600
911261041
105472640
1130a8748
1219bb054
131197c64
14a2658c
157317ca
hex538180

5472640 has 64 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 2056192.

The previous prime is 5472637. The next prime is 5472641. The reversal of 5472640 is 462745.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5472599 and 5472608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5472641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10629 + ... + 11131.

Almost surely, 25472640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

5472640 is an abundant number, since it is smaller than the sum of its proper divisors (8407520).

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

5472640 is a wasteful number, since it uses less digits than its factorization.

5472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5472640 is about 2339.3674358681. The cubic root of 5472640 is about 176.2242321030.

The spelling of 5472640 in words is "five million, four hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 503 544 640 680 1006 1088 1360 2012 2176 2515 2720 4024 5030 5440 8048 8551 10060 10880 16096 17102 20120 32192 34204 40240 42755 64384 68408 80480 85510 136816 160960 171020 273632 321920 342040 547264 684080 1094528 1368160 2736320 5472640