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2138832 = 24334951
BaseRepresentation
bin1000001010001011010000
311000122221000
420022023100
51021420312
6113502000
724115443
oct10121320
94018830
102138832
111230a33
12871900
1359b6a7
143d965a
152c3adc
hex20a2d0

2138832 has 40 divisors (see below), whose sum is σ = 6140480. Its totient is φ = 712800.

The previous prime is 2138831. The next prime is 2138833. The reversal of 2138832 is 2388312.

It is an interprime number because it is at equal distance from previous prime (2138831) and next prime (2138833).

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

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 = 2138796 and 2138805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (153512).

22138832 is an apocalyptic number.

It is an amenable number.

2138832 is an abundant number, since it is smaller than the sum of its proper divisors (4001648).

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

2138832 is a wasteful number, since it uses less digits than its factorization.

2138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4956 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2138832 is about 1462.4746151643. The cubic root of 2138832 is about 128.8424252304.

It can be divided in two parts, 213 and 8832, that added together give a triangular number (9045 = T134).

The spelling of 2138832 in words is "two million, one hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4951 9902 14853 19804 29706 39608 44559 59412 79216 89118 118824 133677 178236 237648 267354 356472 534708 712944 1069416 2138832