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420248970 = 232525718169
BaseRepresentation
bin11001000011000…
…111110110001010
31002021202212012200
4121003013312022
51330040431340
6105411221030
713262025441
oct3103076612
91067685180
10420248970
111a62462a9
12b88a7776
13690b113b
143db55d58
1526d63330
hex190c7d8a

420248970 has 48 divisors (see below), whose sum is σ = 1096959240. Its totient is φ = 111624192.

The previous prime is 420248963. The next prime is 420248999. The reversal of 420248970 is 79842024.

It can be written as a sum of positive squares in 4 ways, for example, as 375933321 + 44315649 = 19389^2 + 6657^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14046 + ... + 32214.

Almost surely, 2420248970 is an apocalyptic number.

420248970 is an abundant number, since it is smaller than the sum of its proper divisors (676710270).

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

420248970 is a wasteful number, since it uses less digits than its factorization.

420248970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18439 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420248970 is about 20499.9748780334. The cubic root of 420248970 is about 749.0351860443.

The spelling of 420248970 in words is "four hundred twenty million, two hundred forty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 18169 23130 36338 54507 90845 109014 163521 181690 272535 327042 545070 817605 1635210 4669433 9338866 14008299 23347165 28016598 42024897 46694330 70041495 84049794 140082990 210124485 420248970