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2419980 = 223553761
BaseRepresentation
bin1001001110110100001100
311112221120220
421032310030
51104414410
6123511340
726366223
oct11166414
94487526
102419980
111403192
12988550
13669654
1446dcba
1532c070
hex24ed0c

2419980 has 48 divisors (see below), whose sum is σ = 6912864. Its totient is φ = 632320.

The previous prime is 2419979. The next prime is 2419981. The reversal of 2419980 is 899142.

It is an interprime number because it is at equal distance from previous prime (2419979) and next prime (2419981).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419981) 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, 2800 + ... + 3560.

It is an arithmetic number, because the mean of its divisors is an integer number (144018).

22419980 is an apocalyptic number.

2419980 is a gapful number since it is divisible by the number (20) 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 2419980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432).

2419980 is an abundant number, since it is smaller than the sum of its proper divisors (4492884).

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

2419980 is a wasteful number, since it uses less digits than its factorization.

2419980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2419980 is about 1555.6284903537. The cubic root of 2419980 is about 134.2570990354.

The spelling of 2419980 in words is "two million, four hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 761 795 1060 1522 1590 2283 3044 3180 3805 4566 7610 9132 11415 15220 22830 40333 45660 80666 120999 161332 201665 241998 403330 483996 604995 806660 1209990 2419980