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420485880 = 233513725577
BaseRepresentation
bin11001000100000…
…001101011111000
31002022012220012010
4121010001223320
51330121022010
6105420245520
713264033233
oct3104015370
91068186163
10420485880
111a63982a1
12b89a08a0
1369164c19
143dbb841a
1526dad620
hex19101af8

420485880 has 64 divisors (see below), whose sum is σ = 1270715040. Its totient is φ = 111306752.

The previous prime is 420485869. The next prime is 420485881. The reversal of 420485880 is 88584024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420485881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3652 + ... + 29228.

Almost surely, 2420485880 is an apocalyptic number.

420485880 is a gapful number since it is divisible by the number (40) 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 420485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635357520).

420485880 is an abundant number, since it is smaller than the sum of its proper divisors (850229160).

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

420485880 is a wasteful number, since it uses less digits than its factorization.

420485880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25728 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 420485880 is about 20505.7523636662. The cubic root of 420485880 is about 749.1759126161.

The spelling of 420485880 in words is "four hundred twenty million, four hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 25577 51154 76731 102308 127885 153462 204616 255770 306924 383655 511540 613848 767310 1023080 1534620 3069240 3504049 7008098 10512147 14016196 17520245 21024294 28032392 35040490 42048588 52560735 70080980 84097176 105121470 140161960 210242940 420485880