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420937280 = 2657916651
BaseRepresentation
bin11001000101101…
…111111001000000
31002100001211101122
4121011233321000
51330224443110
6105434051412
713300623251
oct3105577100
91070054348
10420937280
111a6676455
12b8b79b68
136929251a
143dc94b28
1526e4c255
hex1916fe40

420937280 has 56 divisors (see below), whose sum is σ = 1015105920. Its totient is φ = 166233600.

The previous prime is 420937273. The next prime is 420937303. The reversal of 420937280 is 82739024.

It is a self number, because there is not a number n which added to its sum of digits gives 420937280.

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, 16955 + ... + 33605.

Almost surely, 2420937280 is an apocalyptic number.

420937280 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 420937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507552960).

420937280 is an abundant number, since it is smaller than the sum of its proper divisors (594168640).

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

420937280 is a wasteful number, since it uses less digits than its factorization.

420937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16747 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 420937280 is about 20516.7560788737. The cubic root of 420937280 is about 749.4439018491.

The spelling of 420937280 in words is "four hundred twenty million, nine hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 6320 12640 16651 25280 33302 66604 83255 133208 166510 266416 333020 532832 666040 1065664 1315429 1332080 2630858 2664160 5261716 5328320 6577145 10523432 13154290 21046864 26308580 42093728 52617160 84187456 105234320 210468640 420937280