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2420208 = 243275
BaseRepresentation
bin1001001110110111110000
311112221220100
421032313300
51104421313
6123512400
726400000
oct11166760
94487810
102420208
11140337a
12988700
1366979b
14470000
1532c173
hex24edf0

2420208 has 90 divisors (see below), whose sum is σ = 7902024. Its totient is φ = 691488.

The previous prime is 2420179. The next prime is 2420213. The reversal of 2420208 is 8020242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 345741 + ... + 345747.

22420208 is an apocalyptic number.

2420208 is a gapful number since it is divisible by the number (28) 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 2420208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951012).

2420208 is an abundant number, since it is smaller than the sum of its proper divisors (5481816).

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

2420208 is an frugal number, since it uses more digits than its factorization.

2420208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2420208 is about 1555.7017709060. The cubic root of 2420208 is about 134.2613152765.

It can be divided in two parts, 2420 and 208, that added together give a triangular number (2628 = T72).

The spelling of 2420208 in words is "two million, four hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2401 2744 3087 3528 4116 4802 5488 6174 7056 7203 8232 9604 12348 14406 16464 16807 19208 21609 24696 28812 33614 38416 43218 49392 50421 57624 67228 86436 100842 115248 134456 151263 172872 201684 268912 302526 345744 403368 605052 806736 1210104 2420208