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411930 = 232523199
BaseRepresentation
bin1100100100100011010
3202221001200
41210210122
5101140210
612455030
73333651
oct1444432
9687050
10411930
11261542
1217a476
1311565c
14aa198
15820c0
hex6491a

411930 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 104544.

The previous prime is 411923. The next prime is 411937. The reversal of 411930 is 39114.

It is an interprime number because it is at equal distance from previous prime (411923) and next prime (411937).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (411937) 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, 1971 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2411930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

411930 is an abundant number, since it is smaller than the sum of its proper divisors (711270).

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

411930 is a wasteful number, since it uses less digits than its factorization.

411930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 411930 is about 641.8177311356. The cubic root of 411930 is about 74.4059741994.

Subtracting from 411930 its reverse (39114), we obtain a triangular number (372816 = T863).

The spelling of 411930 in words is "four hundred eleven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 199 207 230 345 398 414 597 690 995 1035 1194 1791 1990 2070 2985 3582 4577 5970 8955 9154 13731 17910 22885 27462 41193 45770 68655 82386 137310 205965 411930