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399001240 = 235112389443
BaseRepresentation
bin10111110010000…
…100011010011000
31000210210100210201
4113302010122120
51304121014430
6103331551544
712613311631
oct2762043230
91023710721
10399001240
111952535a0
12b175b5b4
1364881b11
143adc4888
15250678ca
hex17c84698

399001240 has 128 divisors (see below), whose sum is σ = 1035763200. Its totient is φ = 136913920.

The previous prime is 399001223. The next prime is 399001249. The reversal of 399001240 is 42100993.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 399001199 and 399001208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399001249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900459 + ... + 900901.

It is an arithmetic number, because the mean of its divisors is an integer number (8091900).

Almost surely, 2399001240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517881600).

399001240 is an abundant number, since it is smaller than the sum of its proper divisors (636761960).

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

399001240 is a wasteful number, since it uses less digits than its factorization.

399001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 399001240 is about 19975.0153942369. The cubic root of 399001240 is about 736.1925447327.

The spelling of 399001240 in words is "three hundred ninety-nine million, one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 89 92 110 115 178 184 220 230 253 356 440 443 445 460 506 712 886 890 920 979 1012 1265 1772 1780 1958 2024 2047 2215 2530 3544 3560 3916 4094 4430 4873 4895 5060 7832 8188 8860 9746 9790 10120 10189 10235 16376 17720 19492 19580 20378 20470 22517 24365 38984 39160 39427 40756 40940 45034 48730 50945 78854 81512 81880 90068 97460 101890 112079 112585 157708 180136 194920 197135 203780 224158 225170 315416 394270 407560 433697 448316 450340 560395 788540 867394 896632 900680 906821 1120790 1577080 1734788 1813642 2168485 2241580 3469576 3627284 4336970 4483160 4534105 7254568 8673940 9068210 9975031 17347880 18136420 19950062 36272840 39900124 49875155 79800248 99750310 199500620 399001240