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451195140 = 2235112329723
BaseRepresentation
bin11010111001001…
…011000100000100
31011110000002101010
4122321023010010
51411001221030
6112434402220
714116044504
oct3271130404
91143002333
10451195140
11211762650
12107130370
1372627996
1443ccda04
15299276b0
hex1ae4b104

451195140 has 96 divisors (see below), whose sum is σ = 1438166016. Its totient is φ = 104621440.

The previous prime is 451195133. The next prime is 451195141. The reversal of 451195140 is 41591154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 451195098 and 451195107.

It is not an unprimeable number, because it can be changed into a prime (451195141) 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, 319 + ... + 30041.

It is an arithmetic number, because the mean of its divisors is an integer number (14980896).

Almost surely, 2451195140 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 451195140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719083008).

451195140 is an abundant number, since it is smaller than the sum of its proper divisors (986970876).

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

451195140 is a wasteful number, since it uses less digits than its factorization.

451195140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29769 (or 29767 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 451195140 is about 21241.3544765865. The cubic root of 451195140 is about 766.9872379195.

It can be divided in two parts, 451 and 195140, that added together give a palindrome (195591).

The spelling of 451195140 in words is "four hundred fifty-one million, one hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 29723 59446 89169 118892 148615 178338 297230 326953 356676 445845 594460 653906 683629 891690 980859 1307812 1367258 1634765 1783380 1961718 2050887 2734516 3269530 3418145 3923436 4101774 4904295 6539060 6836290 7519919 8203548 9808590 10254435 13672580 15039838 19617180 20508870 22559757 30079676 37599595 41017740 45119514 75199190 90239028 112798785 150398380 225597570 451195140