Search a number
-
+
1451064132 = 223472512549
BaseRepresentation
bin101011001111101…
…0111101101000100
310202010102200210000
41112133113231010
510432433023012
6355553201300
750646561450
oct12637275504
93663380700
101451064132
116850a6a61
12345b60230
131a181a33b
14daa05660
15875ceddc
hex567d7b44

1451064132 has 120 divisors (see below), whose sum is σ = 4354257600. Its totient is φ = 412776000.

The previous prime is 1451064101. The next prime is 1451064137. The reversal of 1451064132 is 2314601541.

It is a happy number.

1451064132 is a `hidden beast` number, since 1 + 4 + 5 + 10 + 641 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1451064096 and 1451064105.

It is not an unprimeable number, because it can be changed into a prime (1451064137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567994 + ... + 570542.

It is an arithmetic number, because the mean of its divisors is an integer number (36285480).

Almost surely, 21451064132 is an apocalyptic number.

1451064132 is a gapful number since it is divisible by the number (12) 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 1451064132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177128800).

1451064132 is an abundant number, since it is smaller than the sum of its proper divisors (2903193468).

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

1451064132 is a wasteful number, since it uses less digits than its factorization.

1451064132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1451064132 is about 38092.8357043683. The cubic root of 1451064132 is about 1132.1280108037.

Adding to 1451064132 its reverse (2314601541), we get a palindrome (3765665673).

The spelling of 1451064132 in words is "one billion, four hundred fifty-one million, sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 251 252 324 378 502 567 753 756 1004 1134 1506 1757 2259 2268 2549 3012 3514 4518 5098 5271 6777 7028 7647 9036 10196 10542 13554 15294 15813 17843 20331 21084 22941 27108 30588 31626 35686 40662 45882 47439 53529 63252 68823 71372 81324 91764 94878 107058 137646 142317 160587 189756 206469 214116 275292 284634 321174 412938 481761 569268 639799 642348 825876 963522 1279598 1445283 1919397 1927044 2559196 2890566 3838794 4478593 5758191 5781132 7677588 8957186 11516382 13435779 17274573 17914372 23032764 26871558 34549146 40307337 51823719 53743116 69098292 80614674 103647438 120922011 161229348 207294876 241844022 362766033 483688044 725532066 1451064132