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420280 = 23571979
BaseRepresentation
bin1100110100110111000
3210100111221
41212212320
5101422110
613001424
73400210
oct1464670
9710457
10420280
11267843
12183274
131193b3
14ad240
15847da
hex669b8

420280 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 134784.

The previous prime is 420271. The next prime is 420293. The reversal of 420280 is 82024.

It is a congruent number.

It is an unprimeable number.

420280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5281 + ... + 5359.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2420280 is an apocalyptic number.

420280 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 420280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

420280 is an abundant number, since it is smaller than the sum of its proper divisors (731720).

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

420280 is a wasteful number, since it uses less digits than its factorization.

420280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420280 is about 648.2900585386. The cubic root of 420280 is about 74.9053621140.

The spelling of 420280 in words is "four hundred twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 79 95 133 140 152 158 190 266 280 316 380 395 532 553 632 665 760 790 1064 1106 1330 1501 1580 2212 2660 2765 3002 3160 4424 5320 5530 6004 7505 10507 11060 12008 15010 21014 22120 30020 42028 52535 60040 84056 105070 210140 420280