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3998520 = 2332529383
BaseRepresentation
bin1111010000001100111000
321112010221100
433100030320
52010423040
6221411400
745662331
oct17201470
97463840
103998520
112291169
121409b60
13a9ccb6
14761288
1553eb30
hex3d0338

3998520 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1026816.

The previous prime is 3998497. The next prime is 3998521. The reversal of 3998520 is 258993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10249 + ... + 10631.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 23998520 is an apocalyptic number.

3998520 is a gapful number since it is divisible by the number (30) 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 3998520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3998520 is an abundant number, since it is smaller than the sum of its proper divisors (9479880).

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

3998520 is a wasteful number, since it uses less digits than its factorization.

3998520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3998520 is about 1999.6299657687. The cubic root of 3998520 is about 158.7205248354.

The spelling of 3998520 in words is "three million, nine hundred ninety-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 383 435 522 580 696 766 870 1044 1149 1160 1305 1532 1740 1915 2088 2298 2610 3064 3447 3480 3830 4596 5220 5745 6894 7660 9192 10440 11107 11490 13788 15320 17235 22214 22980 27576 33321 34470 44428 45960 55535 66642 68940 88856 99963 111070 133284 137880 166605 199926 222140 266568 333210 399852 444280 499815 666420 799704 999630 1332840 1999260 3998520