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390096 = 2434743
BaseRepresentation
bin1011111001111010000
3201211010000
41133033100
544440341
612210000
73213210
oct1371720
9654100
10390096
112470a3
12169900
13108735
14a2240
157a8b6
hex5f3d0

390096 has 100 divisors (see below), whose sum is σ = 1320352. Its totient is φ = 108864.

The previous prime is 390083. The next prime is 390097. The reversal of 390096 is 690093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390097) by changing a digit.

390096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9051 + ... + 9093.

2390096 is an apocalyptic number.

390096 is a gapful number since it is divisible by the number (36) 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 390096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660176).

390096 is an abundant number, since it is smaller than the sum of its proper divisors (930256).

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

390096 is a wasteful number, since it uses less digits than its factorization.

390096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 390096 is about 624.5766566243. The cubic root of 390096 is about 73.0674300333.

The spelling of 390096 in words is "three hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 81 84 86 108 112 126 129 144 162 168 172 189 216 252 258 301 324 336 344 378 387 432 504 516 567 602 648 688 756 774 903 1008 1032 1134 1161 1204 1296 1512 1548 1806 2064 2268 2322 2408 2709 3024 3096 3483 3612 4536 4644 4816 5418 6192 6966 7224 8127 9072 9288 10836 13932 14448 16254 18576 21672 24381 27864 32508 43344 48762 55728 65016 97524 130032 195048 390096