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2420480 = 2853161
BaseRepresentation
bin1001001110111100000000
311112222021102
421032330000
51104423410
6123513532
726400536
oct11167400
94488242
102420480
1114035a7
129888a8
1366994a
14470156
1532c2a5
hex24ef00

2420480 has 72 divisors (see below), whose sum is σ = 6082944. Its totient is φ = 921600.

The previous prime is 2420479. The next prime is 2420519. The reversal of 2420480 is 840242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 39650 + ... + 39710.

22420480 is an apocalyptic number.

2420480 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 2420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041472).

2420480 is an abundant number, since it is smaller than the sum of its proper divisors (3662464).

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

2420480 is an equidigital number, since it uses as much as digits as its factorization.

2420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2420480 is about 1555.7891888042. The cubic root of 2420480 is about 134.2663448318.

The spelling of 2420480 in words is "two million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 122 124 128 155 160 244 248 256 305 310 320 488 496 610 620 640 976 992 1220 1240 1280 1891 1952 1984 2440 2480 3782 3904 3968 4880 4960 7564 7808 7936 9455 9760 9920 15128 15616 18910 19520 19840 30256 37820 39040 39680 60512 75640 78080 121024 151280 242048 302560 484096 605120 1210240 2420480