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387930 = 23567193
BaseRepresentation
bin1011110101101011010
3201201010210
41132231122
544403210
612151550
73203664
oct1365532
9651123
10387930
11245504
121685b6
1310775a
14a1534
1579e20
hex5eb5a

387930 has 32 divisors (see below), whose sum is σ = 949824. Its totient is φ = 101376.

The previous prime is 387917. The next prime is 387953. The reversal of 387930 is 39783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

387930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (29682).

2387930 is an apocalyptic number.

387930 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 387930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474912).

387930 is an abundant number, since it is smaller than the sum of its proper divisors (561894).

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

387930 is a wasteful number, since it uses less digits than its factorization.

387930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 387930 is about 622.8402684477. The cubic root of 387930 is about 72.9319438285.

Multiplying 387930 by its sum of digits (30), we get a triangular number (11637900 = T4824).

The spelling of 387930 in words is "three hundred eighty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 193 201 335 386 402 579 670 965 1005 1158 1930 2010 2895 5790 12931 25862 38793 64655 77586 129310 193965 387930