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2435420 = 22513171929
BaseRepresentation
bin1001010010100101011100
311120201202202
421102211130
51110413140
6124111032
726462231
oct11224534
94521682
102435420
111413849
12995478
136736a0
14475788
15331915
hex25295c

2435420 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 774144.

The previous prime is 2435417. The next prime is 2435443. The reversal of 2435420 is 245342.

2435420 = T77 + T78 + ... + T246.

It is a super-3 number, since 3×24354203 = 43335404961528264000, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2435392 and 2435401.

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, 83966 + ... + 83994.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22435420 is an apocalyptic number.

2435420 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 2435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2435420 is an abundant number, since it is smaller than the sum of its proper divisors (3914980).

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

2435420 is a wasteful number, since it uses less digits than its factorization.

2435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2435420 is about 1560.5832243107. The cubic root of 2435420 is about 134.5420237853.

2435420 divided by its sum of digits (20) gives a triangular number (121771 = T493).

The spelling of 2435420 in words is "two million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 29 34 38 52 58 65 68 76 85 95 116 130 145 170 190 221 247 260 290 323 340 377 380 442 493 494 551 580 646 754 884 986 988 1102 1105 1235 1292 1508 1615 1885 1972 2204 2210 2465 2470 2755 3230 3770 4199 4420 4930 4940 5510 6409 6460 7163 7540 8398 9367 9860 11020 12818 14326 16796 18734 20995 25636 28652 32045 35815 37468 41990 46835 64090 71630 83980 93670 121771 128180 143260 187340 243542 487084 608855 1217710 2435420