Search a number
-
+
430680 = 23353797
BaseRepresentation
bin1101001001001011000
3210212210010
41221021120
5102240210
613121520
73442425
oct1511130
9725703
10430680
11274638
121892a0
13121053
14b2d4c
1587920
hex69258

430680 has 64 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 110592.

The previous prime is 430663. The next prime is 430691. The reversal of 430680 is 86034.

430680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

430680 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 15 ways as a sum of consecutive naturals, for example, 4392 + ... + 4488.

2430680 is an apocalyptic number.

430680 is a gapful number since it is divisible by the number (40) 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 430680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

430680 is an abundant number, since it is smaller than the sum of its proper divisors (909960).

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

430680 is a wasteful number, since it uses less digits than its factorization.

430680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 430680 is about 656.2621427448. The cubic root of 430680 is about 75.5181892640.

The spelling of 430680 in words is "four hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 97 111 120 148 185 194 222 291 296 370 388 444 485 555 582 740 776 888 970 1110 1164 1455 1480 1940 2220 2328 2910 3589 3880 4440 5820 7178 10767 11640 14356 17945 21534 28712 35890 43068 53835 71780 86136 107670 143560 215340 430680