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366420 = 223531197
BaseRepresentation
bin1011001011101010100
3200121122010
41121131110
543211140
611504220
73054165
oct1313524
9617563
10366420
1123032a
12158070
13caa22
149776c
1573880
hex59754

366420 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 94080.

The previous prime is 366419. The next prime is 366433. The reversal of 366420 is 24663.

366420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2366420 is an apocalyptic number.

366420 is a gapful number since it is divisible by the number (30) 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 366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

366420 is an abundant number, since it is smaller than the sum of its proper divisors (698028).

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

366420 is a wasteful number, since it uses less digits than its factorization.

366420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 366420 is about 605.3263582564. The cubic root of 366420 is about 71.5582520377.

The spelling of 366420 in words is "three hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 197 310 372 394 465 591 620 788 930 985 1182 1860 1970 2364 2955 3940 5910 6107 11820 12214 18321 24428 30535 36642 61070 73284 91605 122140 183210 366420