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4274520 = 2335179199
BaseRepresentation
bin10000010011100101011000
322001011112120
4100103211120
52043241040
6231341240
751222105
oct20234530
98034476
104274520
11245a568
121521820
13b68803
147d3aac
155967d0
hex413958

4274520 has 64 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1127808.

The previous prime is 4274489. The next prime is 4274521. The reversal of 4274520 is 254724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 25 + 7 + 411 + 57 + 211 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274521) 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, 21381 + ... + 21579.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 24274520 is an apocalyptic number.

4274520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4274520 is the 1194-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

4274520 is an abundant number, since it is smaller than the sum of its proper divisors (8685480).

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

4274520 is a wasteful number, since it uses less digits than its factorization.

4274520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4274520 is about 2067.4912333551. The cubic root of 4274520 is about 162.2915038058.

The spelling of 4274520 in words is "four million, two hundred seventy-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 199 358 398 537 597 716 796 895 995 1074 1194 1432 1592 1790 1990 2148 2388 2685 2985 3580 3980 4296 4776 5370 5970 7160 7960 10740 11940 21480 23880 35621 71242 106863 142484 178105 213726 284968 356210 427452 534315 712420 854904 1068630 1424840 2137260 4274520