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465130701 = 3375414549
BaseRepresentation
bin11011101110010…
…101010011001101
31012102020002101000
4123232111103031
51423033140301
6114053210513
714345355120
oct3356252315
91172202330
10465130701
11219610642
1210b930a39
1375496989
1445aba3b7
152ac7b786
hex1bb954cd

465130701 has 32 divisors (see below), whose sum is σ = 789152000. Its totient is φ = 265239360.

The previous prime is 465130637. The next prime is 465130709. The reversal of 465130701 is 107031564.

465130701 is a `hidden beast` number, since 4 + 651 + 3 + 0 + 7 + 0 + 1 = 666.

It is not a de Polignac number, because 465130701 - 26 = 465130637 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465130709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99975 + ... + 104523.

It is an arithmetic number, because the mean of its divisors is an integer number (24661000).

Almost surely, 2465130701 is an apocalyptic number.

It is an amenable number.

465130701 is a deficient number, since it is larger than the sum of its proper divisors (324021299).

465130701 is a wasteful number, since it uses less digits than its factorization.

465130701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 465130701 is about 21566.8889967932. Note that the first 3 decimals coincide. The cubic root of 465130701 is about 774.8036691716.

The spelling of 465130701 in words is "four hundred sixty-five million, one hundred thirty thousand, seven hundred one".

Divisors: 1 3 7 9 21 27 63 189 541 1623 3787 4549 4869 11361 13647 14607 31843 34083 40941 95529 102249 122823 286587 859761 2461009 7383027 17227063 22149081 51681189 66447243 155043567 465130701