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2196432 = 243272179
BaseRepresentation
bin1000011000001111010000
311010120221100
420120033100
51030241212
6115024400
724445410
oct10301720
94116840
102196432
111270237
1289b100
135bb984
14412640
152d5bdc
hex2183d0

2196432 has 60 divisors (see below), whose sum is σ = 7028320. Its totient is φ = 627264.

The previous prime is 2196413. The next prime is 2196433. The reversal of 2196432 is 2346912.

2196432 is a `hidden beast` number, since 2 + 19 + 643 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2196396 and 2196405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 2097.

22196432 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 2196432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514160).

2196432 is an abundant number, since it is smaller than the sum of its proper divisors (4831888).

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

2196432 is a wasteful number, since it uses less digits than its factorization.

2196432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2191 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2196432 is about 1482.0364367990. The cubic root of 2196432 is about 129.9887958786.

It can be divided in two parts, 2196 and 432, that added together give a triangular number (2628 = T72).

The spelling of 2196432 in words is "two million, one hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2179 4358 6537 8716 13074 15253 17432 19611 26148 30506 34864 39222 45759 52296 61012 78444 91518 104592 122024 137277 156888 183036 244048 274554 313776 366072 549108 732144 1098216 2196432