Search a number
-
+
5369904 = 243289419
BaseRepresentation
bin10100011111000000110000
3101002211010100
4110133000300
52333314104
6311032400
763433461
oct24370060
911084110
105369904
113038541
12196b700
131160277
149dad68
15711139
hex51f030

5369904 has 60 divisors (see below), whose sum is σ = 15233400. Its totient is φ = 1765632.

The previous prime is 5369887. The next prime is 5369911. The reversal of 5369904 is 4099635.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12607 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 25369904 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 5369904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700).

5369904 is an abundant number, since it is smaller than the sum of its proper divisors (9863496).

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

5369904 is a wasteful number, since it uses less digits than its factorization.

5369904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5369904 is about 2317.3053316298. The cubic root of 5369904 is about 175.1145263939.

It can be divided in two parts, 536 and 9904, that added together give a triangular number (10440 = T144).

The spelling of 5369904 in words is "five million, three hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 419 534 712 801 838 1068 1257 1424 1602 1676 2136 2514 3204 3352 3771 4272 5028 6408 6704 7542 10056 12816 15084 20112 30168 37291 60336 74582 111873 149164 223746 298328 335619 447492 596656 671238 894984 1342476 1789968 2684952 5369904