Search a number
-
+
947430 = 233511229
BaseRepresentation
bin11100111010011100110
31210010122000
43213103212
5220304210
632150130
711024121
oct3472346
91703560
10947430
11597900
12398346
13272313
141a93b8
1513aac0
hexe74e6

947430 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 221760.

The previous prime is 947423. The next prime is 947431. The reversal of 947430 is 34749.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 947394 and 947403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947431) by changing a digit.

947430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32656 + ... + 32684.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2947430 is an apocalyptic number.

947430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 947430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

947430 is an abundant number, since it is smaller than the sum of its proper divisors (1925370).

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

947430 is a wasteful number, since it uses less digits than its factorization.

947430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 947430 is about 973.3601594477. The cubic root of 947430 is about 98.2160304452.

The spelling of 947430 in words is "nine hundred forty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 121 135 145 165 174 198 242 261 270 290 297 319 330 363 435 495 522 594 605 638 726 783 870 957 990 1089 1210 1305 1485 1566 1595 1815 1914 2178 2610 2871 2970 3190 3267 3509 3630 3915 4785 5445 5742 6534 7018 7830 8613 9570 10527 10890 14355 16335 17226 17545 21054 28710 31581 32670 35090 43065 52635 63162 86130 94743 105270 157905 189486 315810 473715 947430