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451230 = 23513289
BaseRepresentation
bin1101110001010011110
3211220222020
41232022132
5103414410
613401010
73556353
oct1561236
9756866
10451230
1128901a
12199166
1312a500
14ba62a
158da70
hex6e29e

451230 has 48 divisors (see below), whose sum is σ = 1185840. Its totient is φ = 109824.

The previous prime is 451207. The next prime is 451249. The reversal of 451230 is 32154.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable 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, 5026 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (24705).

2451230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592920).

451230 is an abundant number, since it is smaller than the sum of its proper divisors (734610).

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

451230 is a wasteful number, since it uses less digits than its factorization.

451230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 451230 is about 671.7365555037. The cubic root of 451230 is about 76.7006990265.

Adding to 451230 its reverse (32154), we get a palindrome (483384).

It can be divided in two parts, 45 and 1230, that added together give a triangular number (1275 = T50).

The spelling of 451230 in words is "four hundred fifty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 169 178 195 267 338 390 445 507 534 845 890 1014 1157 1335 1690 2314 2535 2670 3471 5070 5785 6942 11570 15041 17355 30082 34710 45123 75205 90246 150410 225615 451230