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420919720 = 23513809461
BaseRepresentation
bin11001000101101…
…011100110101000
31002100000221022021
4121011223212220
51330223412340
6105433434224
713300521124
oct3105534650
91070027267
10420919720
111a6664241
12b8b6b974
1369287530
143dc8c584
1526e46e4a
hex1916b9a8

420919720 has 32 divisors (see below), whose sum is σ = 1019922120. Its totient is φ = 155416320.

The previous prime is 420919699. The next prime is 420919789. The reversal of 420919720 is 27919024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120868036 + 300051684 = 10994^2 + 17322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404211 + ... + 405250.

Almost surely, 2420919720 is an apocalyptic number.

420919720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420919720 is an abundant number, since it is smaller than the sum of its proper divisors (599002400).

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

420919720 is a wasteful number, since it uses less digits than its factorization.

420919720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809485 (or 809481 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 420919720 is about 20516.3281315152. The cubic root of 420919720 is about 749.4334803298.

The spelling of 420919720 in words is "four hundred twenty million, nine hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 809461 1618922 3237844 4047305 6475688 8094610 10522993 16189220 21045986 32378440 42091972 52614965 84183944 105229930 210459860 420919720