Search a number
-
+
451996740 = 223351331267
BaseRepresentation
bin11010111100001…
…110110001000100
31011111111210222000
4122330032301010
51411202343430
6112503505300
714125623516
oct3274166104
91144453860
10451996740
1121215a928
12107458230
13728487c0
144405bbb6
1529a34e60
hex1af0ec44

451996740 has 288 divisors, whose sum is σ = 1588164480. Its totient is φ = 106064640.

The previous prime is 451996733. The next prime is 451996781. The reversal of 451996740 is 47699154.

451996740 is a `hidden beast` number, since 4 + 519 + 96 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6746187 + ... + 6746253.

It is an arithmetic number, because the mean of its divisors is an integer number (5514460).

Almost surely, 2451996740 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 451996740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794082240).

451996740 is an abundant number, since it is smaller than the sum of its proper divisors (1136167740).

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

451996740 is a wasteful number, since it uses less digits than its factorization.

451996740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 451996740 is about 21260.2149565803. The cubic root of 451996740 is about 767.4411828439.

The spelling of 451996740 in words is "four hundred fifty-one million, nine hundred ninety-six thousand, seven hundred forty".