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396990 = 232511401
BaseRepresentation
bin1100000111010111110
3202011120100
41200322332
5100200430
612301530
73242256
oct1407276
9664510
10396990
112512a0
121718a6
1310b909
14a4966
157c960
hex60ebe

396990 has 48 divisors (see below), whose sum is σ = 1128816. Its totient is φ = 96000.

The previous prime is 396983. The next prime is 396997. The reversal of 396990 is 99693.

It is an interprime number because it is at equal distance from previous prime (396983) and next prime (396997).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396997) by changing a digit.

396990 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 23 ways as a sum of consecutive naturals, for example, 790 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (23517).

2396990 is an apocalyptic number.

396990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 396990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564408).

396990 is an abundant number, since it is smaller than the sum of its proper divisors (731826).

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

396990 is a wasteful number, since it uses less digits than its factorization.

396990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 396990 is about 630.0714245226. The cubic root of 396990 is about 73.4953488658.

The spelling of 396990 in words is "three hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 401 495 802 990 1203 2005 2406 3609 4010 4411 6015 7218 8822 12030 13233 18045 22055 26466 36090 39699 44110 66165 79398 132330 198495 396990