Search a number
-
+
5409300 = 22352131973
BaseRepresentation
bin10100101000101000010100
3101011211011110
4110220220110
52341044200
6311535020
763656361
oct24505024
911154143
105409300
1130650a6
12198a470
131175190
14a0b468
1571cb50
hex528a14

5409300 has 144 divisors (see below), whose sum is σ = 17984960. Its totient is φ = 1244160.

The previous prime is 5409293. The next prime is 5409317. The reversal of 5409300 is 39045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74064 + ... + 74136.

Almost surely, 25409300 is an apocalyptic number.

5409300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992480).

5409300 is an abundant number, since it is smaller than the sum of its proper divisors (12575660).

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

5409300 is a wasteful number, since it uses less digits than its factorization.

5409300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5409300 is about 2325.7901883016. The cubic root of 5409300 is about 175.5417226960.

The spelling of 5409300 in words is "five million, four hundred nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 73 75 76 78 95 100 114 130 146 150 156 190 195 219 228 247 260 285 292 300 325 365 380 390 438 475 494 570 650 730 741 780 876 949 950 975 988 1095 1140 1235 1300 1387 1425 1460 1482 1825 1898 1900 1950 2190 2470 2774 2847 2850 2964 3650 3705 3796 3900 4161 4380 4745 4940 5475 5548 5694 5700 6175 6935 7300 7410 8322 9490 10950 11388 12350 13870 14235 14820 16644 18031 18525 18980 20805 21900 23725 24700 27740 28470 34675 36062 37050 41610 47450 54093 56940 69350 71175 72124 74100 83220 90155 94900 104025 108186 138700 142350 180310 208050 216372 270465 284700 360620 416100 450775 540930 901550 1081860 1352325 1803100 2704650 5409300