Search a number
-
+
30411420 = 223513127307
BaseRepresentation
bin111010000000…
…0101010011100
32010020001121220
41310000222130
530241131140
63003453340
7516331014
oct164005234
963201556
1030411420
1116191606
12a227250
1363ba330
144078c44
152a0abd0
hex1d00a9c

30411420 has 96 divisors (see below), whose sum is σ = 92725248. Its totient is φ = 7402752.

The previous prime is 30411361. The next prime is 30411421. The reversal of 30411420 is 2411403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30411420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30411421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98907 + ... + 99213.

It is an arithmetic number, because the mean of its divisors is an integer number (965888).

Almost surely, 230411420 is an apocalyptic number.

30411420 is a gapful number since it is divisible by the number (30) 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 30411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46362624).

30411420 is an abundant number, since it is smaller than the sum of its proper divisors (62313828).

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

30411420 is a wasteful number, since it uses less digits than its factorization.

30411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30411420 is about 5514.6550209419. The cubic root of 30411420 is about 312.1372259603.

Adding to 30411420 its reverse (2411403), we get a palindrome (32822823).

The spelling of 30411420 in words is "thirty million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 307 381 390 508 614 635 762 780 921 1228 1270 1524 1535 1651 1842 1905 2540 3070 3302 3684 3810 3991 4605 4953 6140 6604 7620 7982 8255 9210 9906 11973 15964 16510 18420 19812 19955 23946 24765 33020 38989 39910 47892 49530 59865 77978 79820 99060 116967 119730 155956 194945 233934 239460 389890 467868 506857 584835 779780 1013714 1169670 1520571 2027428 2339340 2534285 3041142 5068570 6082284 7602855 10137140 15205710 30411420