Search a number
-
+
424626060 = 2235193710067
BaseRepresentation
bin11001010011110…
…100011110001100
31002121000020110010
4121103310132030
51332201013220
6110045113220
713344155565
oct3123643614
91077006403
10424626060
111a8765931
12ba258810
1369c84531
144057516c
152742a1e0
hex194f478c

424626060 has 96 divisors (see below), whose sum is σ = 1285482240. Its totient is φ = 104364288.

The previous prime is 424626029. The next prime is 424626067. The reversal of 424626060 is 60626424.

424626060 = 20672 + 20682 + ... + 21612.

It is a super-2 number, since 2×4246260602 = 360614581662247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (424626067) 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, 37147 + ... + 47213.

It is an arithmetic number, because the mean of its divisors is an integer number (13390440).

Almost surely, 2424626060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424626060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642741120).

424626060 is an abundant number, since it is smaller than the sum of its proper divisors (860856180).

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

424626060 is a wasteful number, since it uses less digits than its factorization.

424626060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 424626060 is about 20606.4567551047. The cubic root of 424626060 is about 751.6267269063.

The spelling of 424626060 in words is "four hundred twenty-four million, six hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10067 10545 14060 20134 21090 30201 40268 42180 50335 60402 100670 120804 151005 191273 201340 302010 372479 382546 573819 604020 744958 765092 956365 1117437 1147638 1489916 1862395 1912730 2234874 2295276 2869095 3724790 3825460 4469748 5587185 5738190 7077101 7449580 11174370 11476380 14154202 21231303 22348740 28308404 35385505 42462606 70771010 84925212 106156515 141542020 212313030 424626060