Search a number
-
+
2134160 = 245737103
BaseRepresentation
bin1000001001000010010000
311000102111222
420021002100
51021243120
6113424212
724066020
oct10110220
94012458
102134160
111228476
1286b068
13599522
143d7a80
152c2525
hex209090

2134160 has 80 divisors (see below), whose sum is σ = 5880576. Its totient is φ = 705024.

The previous prime is 2134157. The next prime is 2134183. The reversal of 2134160 is 614312.

It is a tau number, because it is divible by the number of its divisors (80).

2134160 is a Rhonda number in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20669 + ... + 20771.

22134160 is an apocalyptic number.

2134160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940288).

2134160 is an abundant number, since it is smaller than the sum of its proper divisors (3746416).

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

2134160 is a wasteful number, since it uses less digits than its factorization.

2134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2134160 is about 1460.8764492591. The cubic root of 2134160 is about 128.7485436728.

Adding to 2134160 its reverse (614312), we get a palindrome (2748472).

The spelling of 2134160 in words is "two million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 103 112 140 148 185 206 259 280 296 370 412 515 518 560 592 721 740 824 1030 1036 1295 1442 1480 1648 2060 2072 2590 2884 2960 3605 3811 4120 4144 5180 5768 7210 7622 8240 10360 11536 14420 15244 19055 20720 26677 28840 30488 38110 53354 57680 60976 76220 106708 133385 152440 213416 266770 304880 426832 533540 1067080 2134160