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420574704 = 24311329227
BaseRepresentation
bin11001000100010…
…111010111110000
31002022101102000220
4121010113113300
51330131342304
6105422213040
713264553214
oct3104272760
91068342026
10420574704
111a6449000
12b8a24180
1369196494
143dbdc944
1526dc9ad9
hex191175f0

420574704 has 160 divisors (see below), whose sum is σ = 1241706240. Its totient is φ = 122510080.

The previous prime is 420574703. The next prime is 420574717. The reversal of 420574704 is 407475024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420574703) 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, 1852639 + ... + 1852865.

It is an arithmetic number, because the mean of its divisors is an integer number (7760664).

Almost surely, 2420574704 is an apocalyptic number.

420574704 is a gapful number since it is divisible by the number (44) 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 420574704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620853120).

420574704 is an abundant number, since it is smaller than the sum of its proper divisors (821131536).

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

420574704 is a wasteful number, since it uses less digits than its factorization.

420574704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 420574704 is about 20507.9180805854. The cubic root of 420574704 is about 749.2286612095.

The spelling of 420574704 in words is "four hundred twenty million, five hundred seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 121 132 174 176 227 232 242 264 319 348 363 454 464 484 528 638 681 696 726 908 957 968 1276 1331 1362 1392 1452 1816 1914 1936 2497 2552 2662 2724 2904 3509 3632 3828 3993 4994 5104 5324 5448 5808 6583 7018 7491 7656 7986 9988 10527 10648 10896 13166 14036 14982 15312 15972 19749 19976 21054 21296 26332 27467 28072 29964 31944 38599 39498 39952 42108 52664 54934 56144 59928 63888 72413 77198 78996 82401 84216 105328 109868 115797 119856 144826 154396 157992 164802 168432 217239 219736 231594 289652 302137 308792 315984 329604 434478 439472 463188 579304 604274 617584 659208 796543 868956 906411 926376 1158608 1208548 1318416 1593086 1737912 1812822 1852752 2389629 2417096 3186172 3475824 3625644 4779258 4834192 6372344 7251288 8761973 9558516 12744688 14502576 17523946 19117032 26285919 35047892 38234064 52571838 70095784 105143676 140191568 210287352 420574704