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2420040 = 233574367
BaseRepresentation
bin1001001110110101001000
311112221200010
421032311020
51104420130
6123511520
726366340
oct11166510
94487603
102420040
111403237
129885a0
1366969c
1446dd20
1532c0b0
hex24ed48

2420040 has 128 divisors (see below), whose sum is σ = 8616960. Its totient is φ = 532224.

The previous prime is 2420017. The next prime is 2420051. The reversal of 2420040 is 400242.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2419998 and 2420025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36087 + ... + 36153.

It is an arithmetic number, because the mean of its divisors is an integer number (67320).

22420040 is an apocalyptic number.

2420040 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 2420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308480).

2420040 is an abundant number, since it is smaller than the sum of its proper divisors (6196920).

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

2420040 is a wasteful number, since it uses less digits than its factorization.

2420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2420040 is about 1555.6477750442. The cubic root of 2420040 is about 134.2582085982.

Adding to 2420040 its reverse (400242), we get a palindrome (2820282).

The spelling of 2420040 in words is "two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 67 70 84 86 105 120 129 134 140 168 172 201 210 215 258 268 280 301 335 344 402 420 430 469 516 536 602 645 670 804 840 860 903 938 1005 1032 1204 1290 1340 1407 1505 1608 1720 1806 1876 2010 2345 2408 2580 2680 2814 2881 3010 3612 3752 4020 4515 4690 5160 5628 5762 6020 7035 7224 8040 8643 9030 9380 11256 11524 12040 14070 14405 17286 18060 18760 20167 23048 28140 28810 34572 36120 40334 43215 56280 57620 60501 69144 80668 86430 100835 115240 121002 161336 172860 201670 242004 302505 345720 403340 484008 605010 806680 1210020 2420040