Search a number
-
+
451501020 = 223354120393
BaseRepresentation
bin11010111010010…
…101101111011100
31011110120121222000
4122322111233130
51411041013040
6112445122300
714121460335
oct3272255734
91143517860
10451501020
11211951443
12107259390
1372703c89
1443d6d28c
1529988130
hex1ae95bdc

451501020 has 96 divisors (see below), whose sum is σ = 1439000640. Its totient is φ = 117457920.

The previous prime is 451501013. The next prime is 451501021. The reversal of 451501020 is 20105154.

It is a super-2 number, since 2×4515010202 = 407706342122080800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 451500984 and 451501002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451501021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11944 + ... + 32336.

It is an arithmetic number, because the mean of its divisors is an integer number (14989590).

Almost surely, 2451501020 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 451501020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719500320).

451501020 is an abundant number, since it is smaller than the sum of its proper divisors (987499620).

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

451501020 is a wasteful number, since it uses less digits than its factorization.

451501020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20452 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 451501020 is about 21248.5533625233. The cubic root of 451501020 is about 767.1605207113.

Adding to 451501020 its reverse (20105154), we get a palindrome (471606174).

The spelling of 451501020 in words is "four hundred fifty-one million, five hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 20393 22140 40786 61179 81572 101965 122358 183537 203930 244716 305895 367074 407860 550611 611790 734148 836113 917685 1101222 1223580 1672226 1835370 2202444 2508339 2753055 3344452 3670740 4180565 5016678 5506110 7525017 8361130 10033356 11012220 12541695 15050034 16722260 22575051 25083390 30100068 37625085 45150102 50166780 75250170 90300204 112875255 150500340 225750510 451501020