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420128340 = 223537971951
BaseRepresentation
bin11001000010101…
…010011001010100
31002021112201201220
4121002222121110
51330023101330
6105404450340
713261013652
oct3102523124
91067481656
10420128340
111a6173705
12b88499b0
136906b268
143db23dd2
1526d3c710
hex190aa654

420128340 has 96 divisors (see below), whose sum is σ = 1221233664. Its totient is φ = 107827200.

The previous prime is 420128339. The next prime is 420128351. The reversal of 420128340 is 43821024.

It is a self number, because there is not a number n which added to its sum of digits gives 420128340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214365 + ... + 216315.

It is an arithmetic number, because the mean of its divisors is an integer number (12721184).

Almost surely, 2420128340 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 420128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610616832).

420128340 is an abundant number, since it is smaller than the sum of its proper divisors (801105324).

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

420128340 is a wasteful number, since it uses less digits than its factorization.

420128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420128340 is about 20497.0324681404. The cubic root of 420128340 is about 748.9635104680.

Adding to 420128340 its reverse (43821024), we get a palindrome (463949364).

The spelling of 420128340 in words is "four hundred twenty million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 97 111 148 185 194 222 291 370 388 444 485 555 582 740 970 1110 1164 1455 1940 1951 2220 2910 3589 3902 5820 5853 7178 7804 9755 10767 11706 14356 17945 19510 21534 23412 29265 35890 39020 43068 53835 58530 71780 72187 107670 117060 144374 189247 215340 216561 288748 360935 378494 433122 567741 721870 756988 866244 946235 1082805 1135482 1443740 1892470 2165610 2270964 2838705 3784940 4331220 5677410 7002139 11354820 14004278 21006417 28008556 35010695 42012834 70021390 84025668 105032085 140042780 210064170 420128340