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454020 = 223572347
BaseRepresentation
bin1101110110110000100
3212001210120
41232312010
5104012040
613421540
73600450
oct1566604
9761716
10454020
11290126
1219a8b0
1312b868
14bb660
158e7d0
hex6ed84

454020 has 96 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 97152.

The previous prime is 454009. The next prime is 454021. The reversal of 454020 is 20454.

454020 = T203 + T204 + ... + T222.

454020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4540202 = 412268320800, which contains 22 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454021) by changing a digit.

454020 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 31 ways as a sum of consecutive naturals, for example, 9637 + ... + 9683.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2454020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

454020 is an abundant number, since it is smaller than the sum of its proper divisors (1094268).

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

454020 is a wasteful number, since it uses less digits than its factorization.

454020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 454020 is about 673.8100622579. The cubic root of 454020 is about 76.8584570127.

Adding to 454020 its reverse (20454), we get a palindrome (474474).

It can be divided in two parts, 4540 and 20, that added together give a triangular number (4560 = T95).

The spelling of 454020 in words is "four hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 47 60 69 70 84 92 94 105 115 138 140 141 161 188 210 230 235 276 282 322 329 345 420 460 470 483 564 644 658 690 705 805 940 966 987 1081 1316 1380 1410 1610 1645 1932 1974 2162 2415 2820 3220 3243 3290 3948 4324 4830 4935 5405 6486 6580 7567 9660 9870 10810 12972 15134 16215 19740 21620 22701 30268 32430 37835 45402 64860 75670 90804 113505 151340 227010 454020