Search a number
-
+
2140008 = 23313193
BaseRepresentation
bin1000001010011101101000
311000201112120
420022131220
51021440013
6113511240
724122043
oct10123550
94021476
102140008
111231902
12872520
1359c0a0
143d9c5a
152c4123
hex20a768

2140008 has 64 divisors (see below), whose sum is σ = 6081600. Its totient is φ = 623808.

The previous prime is 2140007. The next prime is 2140013. The reversal of 2140008 is 8000412.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112623 + ... + 112641.

It is an arithmetic number, because the mean of its divisors is an integer number (95025).

22140008 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 2140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040800).

2140008 is an abundant number, since it is smaller than the sum of its proper divisors (3941592).

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

2140008 is a wasteful number, since it uses less digits than its factorization.

2140008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140008 is about 1462.8766181739. The cubic root of 2140008 is about 128.8660348345.

The spelling of 2140008 in words is "two million, one hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 361 456 494 722 741 988 1083 1444 1482 1976 2166 2888 2964 4332 4693 5928 6859 8664 9386 13718 14079 18772 20577 27436 28158 37544 41154 54872 56316 82308 89167 112632 164616 178334 267501 356668 535002 713336 1070004 2140008