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402132093 = 3111719311217
BaseRepresentation
bin10111111110000…
…000110001111101
31001000200102112020
4113332000301331
51310421211333
6103523030353
712652031526
oct2776006175
91030612466
10402132093
11196aa1880
12b280b3b9
1365409bac
143b59b84d
15254853b3
hex17f80c7d

402132093 has 64 divisors (see below), whose sum is σ = 673505280. Its totient is φ = 210124800.

The previous prime is 402132091. The next prime is 402132103. The reversal of 402132093 is 390231204.

It is not a de Polignac number, because 402132093 - 21 = 402132091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402132091) 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 63 ways as a sum of consecutive naturals, for example, 329821 + ... + 331037.

It is an arithmetic number, because the mean of its divisors is an integer number (10523520).

Almost surely, 2402132093 is an apocalyptic number.

It is an amenable number.

402132093 is a deficient number, since it is larger than the sum of its proper divisors (271373187).

402132093 is a wasteful number, since it uses less digits than its factorization.

402132093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 402132093 is about 20053.2314852245. The cubic root of 402132093 is about 738.1130969217.

Adding to 402132093 its reverse (390231204), we get a palindrome (792363297).

The spelling of 402132093 in words is "four hundred two million, one hundred thirty-two thousand, ninety-three".

Divisors: 1 3 11 17 19 31 33 51 57 93 187 209 323 341 527 561 589 627 969 1023 1217 1581 1767 3553 3651 5797 6479 10013 10659 13387 17391 19437 20689 23123 30039 37727 40161 62067 69369 110143 113181 227579 254353 330429 393091 414997 641359 682737 716813 763059 1179273 1244991 1924077 2150439 4324001 7054949 7884943 12185821 12972003 21164847 23654829 36557463 134044031 402132093