Search a number
-
+
432770013 = 33133121283
BaseRepresentation
bin11001110010111…
…000101111011101
31010011022222212000
4121302320233131
51341242120023
6110535432513
713503325104
oct3162705735
91104288760
10432770013
11202318575
12100b25739
136b876340
144169503b
1527ed8243
hex19cb8bdd

432770013 has 48 divisors (see below), whose sum is σ = 714006720. Its totient is φ = 257528160.

The previous prime is 432769993. The next prime is 432770021. The reversal of 432770013 is 310077234.

It is not a de Polignac number, because 432770013 - 26 = 432769949 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 (432770713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336670 + ... + 337952.

It is an arithmetic number, because the mean of its divisors is an integer number (14875140).

Almost surely, 2432770013 is an apocalyptic number.

It is an amenable number.

432770013 is a deficient number, since it is larger than the sum of its proper divisors (281236707).

432770013 is a wasteful number, since it uses less digits than its factorization.

432770013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 432770013 is about 20803.1250777377. The cubic root of 432770013 is about 756.4015094479.

The spelling of 432770013 in words is "four hundred thirty-two million, seven hundred seventy thousand, thirteen".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 961 1209 1283 2883 3627 3849 8649 10881 11547 12493 16679 25947 34641 37479 39773 50037 112437 119319 150111 337311 357957 450333 517049 1073871 1232963 1551147 3698889 4653441 11096667 13960323 16028519 33290001 48085557 144256671 432770013