Search a number
-
+
8219040 = 253517123
BaseRepresentation
bin11111010110100110100000
3120110120101220
4133112212200
54101002130
6452055040
7126601134
oct37264640
916416356
108219040
1147040a5
122904480
13191a04b
14113d3c4
15ac5410
hex7d69a0

8219040 has 48 divisors (see below), whose sum is σ = 25891488. Its totient is φ = 2191616.

The previous prime is 8219033. The next prime is 8219047. The reversal of 8219040 is 409128.

It is an interprime number because it is at equal distance from previous prime (8219033) and next prime (8219047).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8219040.

It is not an unprimeable number, because it can be changed into a prime (8219047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (539406).

Almost surely, 28219040 is an apocalyptic number.

8219040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8219040 is an abundant number, since it is smaller than the sum of its proper divisors (17672448).

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

8219040 is a wasteful number, since it uses less digits than its factorization.

8219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17141 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8219040 is about 2866.8868132523. The cubic root of 8219040 is about 201.8089229950.

The spelling of 8219040 in words is "eight million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17123 34246 51369 68492 85615 102738 136984 171230 205476 256845 273968 342460 410952 513690 547936 684920 821904 1027380 1369840 1643808 2054760 2739680 4109520 8219040