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402132112 = 24196192137
BaseRepresentation
bin10111111110000…
…000110010010000
31001000200102112221
4113332000302100
51310421211422
6103523030424
712652031554
oct2776006220
91030612487
10402132112
11196aa1898
12b280b414
1365409bc5
143b59b864
15254853c7
hex17f80c90

402132112 has 40 divisors (see below), whose sum is σ = 821847200. Its totient is φ = 190086912.

The previous prime is 402132103. The next prime is 402132113. The reversal of 402132112 is 211231204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (402132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187108 + ... + 189244.

It is an arithmetic number, because the mean of its divisors is an integer number (20546180).

Almost surely, 2402132112 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 402132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410923600).

402132112 is an abundant number, since it is smaller than the sum of its proper divisors (419715088).

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

402132112 is a wasteful number, since it uses less digits than its factorization.

402132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 402132112 is about 20053.2319589636. The cubic root of 402132112 is about 738.1131085465.

Adding to 402132112 its reverse (211231204), we get a palindrome (613363316).

The spelling of 402132112 in words is "four hundred two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 619 1238 2137 2476 4274 4952 8548 9904 11761 17096 23522 34192 40603 47044 81206 94088 162412 188176 324824 649648 1322803 2645606 5291212 10582424 21164848 25133257 50266514 100533028 201066056 402132112