Search a number
-
+
421024560 = 2435111011579
BaseRepresentation
bin11001000110000…
…101001100110000
31002100020021010020
4121012011030300
51330240241220
6105440003440
713301435565
oct3106051460
91070207106
10421024560
111a6725a90
12b9000580
13692c3178
143dcb886c
1526e68040
hex19185330

421024560 has 160 divisors (see below), whose sum is σ = 1438836480. Its totient is φ = 100992000.

The previous prime is 421024559. The next prime is 421024589. The reversal of 421024560 is 65420124.

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 421024560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265851 + ... + 267429.

It is an arithmetic number, because the mean of its divisors is an integer number (8992728).

Almost surely, 2421024560 is an apocalyptic number.

421024560 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 421024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719418240).

421024560 is an abundant number, since it is smaller than the sum of its proper divisors (1017811920).

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

421024560 is a wasteful number, since it uses less digits than its factorization.

421024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 421024560 is about 20518.8830105345. The cubic root of 421024560 is about 749.4956965356.

Adding to 421024560 its reverse (65420124), we get a palindrome (486444684).

The spelling of 421024560 in words is "four hundred twenty-one million, twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1579 1616 2020 2222 2424 2640 3030 3158 3333 4040 4444 4737 4848 5555 6060 6316 6666 7895 8080 8888 9474 11110 12120 12632 13332 15790 16665 17369 17776 18948 22220 23685 24240 25264 26664 31580 33330 34738 37896 44440 47370 52107 53328 63160 66660 69476 75792 86845 88880 94740 104214 126320 133320 138952 159479 173690 189480 208428 260535 266640 277904 318958 347380 378960 416856 478437 521070 637916 694760 797395 833712 956874 1042140 1275832 1389520 1594790 1754269 1913748 2084280 2392185 2551664 3189580 3508538 3827496 4168560 4784370 5262807 6379160 7017076 7654992 8771345 9568740 10525614 12758320 14034152 17542690 19137480 21051228 26314035 28068304 35085380 38274960 42102456 52628070 70170760 84204912 105256140 140341520 210512280 421024560