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420150276 = 2232713277463
BaseRepresentation
bin11001000010101…
…111110000000100
31002021120211211100
4121002233300010
51330024302101
6105405140100
713261134630
oct3102576004
91067524740
10420150276
111a6189137
12b885a630
1369078240
143db2bdc0
1526d43e86
hex190afc04

420150276 has 144 divisors (see below), whose sum is σ = 1314686464. Its totient is φ = 110170368.

The previous prime is 420150271. The next prime is 420150301. The reversal of 420150276 is 672051024.

It is not an unprimeable number, because it can be changed into a prime (420150271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907221 + ... + 907683.

Almost surely, 2420150276 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 420150276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657343232).

420150276 is an abundant number, since it is smaller than the sum of its proper divisors (894536188).

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

420150276 is a wasteful number, since it uses less digits than its factorization.

420150276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 420150276 is about 20497.5675630061. The cubic root of 420150276 is about 748.9765453561.

The spelling of 420150276 in words is "four hundred twenty million, one hundred fifty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 277 364 463 468 546 554 819 831 926 1092 1108 1389 1638 1662 1852 1939 2493 2778 3241 3276 3324 3601 3878 4167 4986 5556 5817 6019 6482 7202 7756 8334 9723 9972 10803 11634 12038 12964 14404 16668 17451 18057 19446 21606 23268 24076 25207 29169 32409 34902 36114 38892 42133 43212 50414 54171 58338 64818 69804 72228 75621 84266 100828 108342 116676 126399 128251 129636 151242 168532 216684 226863 252798 256502 302484 379197 384753 453726 505596 513004 758394 769506 897757 907452 1154259 1516788 1539012 1667263 1795514 2308518 2693271 3334526 3591028 4617036 5001789 5386542 6669052 8079813 10003578 10773084 11670841 15005367 16159626 20007156 23341682 30010734 32319252 35012523 46683364 60021468 70025046 105037569 140050092 210075138 420150276