Search a number
-
+
2141604 = 22321931101
BaseRepresentation
bin1000001010110110100100
311000210201200
420022312210
51022012404
6113522500
724126513
oct10126644
94023650
102141604
111233023
12873430
1359ca2a
143da67a
152c4839
hex20ada4

2141604 has 72 divisors (see below), whose sum is σ = 5940480. Its totient is φ = 648000.

The previous prime is 2141603. The next prime is 2141617. The reversal of 2141604 is 4061412.

2141604 is a `hidden beast` number, since 21 + 41 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21154 + ... + 21254.

22141604 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 2141604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970240).

2141604 is an abundant number, since it is smaller than the sum of its proper divisors (3798876).

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

2141604 is a wasteful number, since it uses less digits than its factorization.

2141604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141604 is about 1463.4220170545. The cubic root of 2141604 is about 128.8980626095.

Subtracting from 2141604 its product of nonzero digits (192), we obtain a palindrome (2141412).

The spelling of 2141604 in words is "two million, one hundred forty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 101 114 124 171 186 202 228 279 303 342 372 404 558 589 606 684 909 1116 1178 1212 1767 1818 1919 2356 3131 3534 3636 3838 5301 5757 6262 7068 7676 9393 10602 11514 12524 17271 18786 21204 23028 28179 34542 37572 56358 59489 69084 112716 118978 178467 237956 356934 535401 713868 1070802 2141604