Search a number
-
+
60200840 = 2357673209
BaseRepresentation
bin1110010110100…
…1011110001000
311012021112000202
43211221132020
5110402411330
65550151332
71330461440
oct345513610
9135245022
1060200840
1130a88867
12181b2548
13c61a4cb
147dd1120
155442445
hex3969788

60200840 has 64 divisors (see below), whose sum is σ = 157161600. Its totient is φ = 20325888.

The previous prime is 60200807. The next prime is 60200851. The reversal of 60200840 is 4800206.

60200840 is nontrivially palindromic in base 15.

60200840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×602008402 = 7248282273411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17156 + ... + 20364.

It is an arithmetic number, because the mean of its divisors is an integer number (2455650).

Almost surely, 260200840 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 60200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580800).

60200840 is an abundant number, since it is smaller than the sum of its proper divisors (96960760).

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

60200840 is a wasteful number, since it uses less digits than its factorization.

60200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 60200840 is about 7758.9200279420. The cubic root of 60200840 is about 391.9230898675.

The spelling of 60200840 in words is "sixty million, two hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3209 3752 4690 6418 9380 12836 16045 18760 22463 25672 32090 44926 64180 89852 112315 128360 179704 215003 224630 430006 449260 860012 898520 1075015 1505021 1720024 2150030 3010042 4300060 6020084 7525105 8600120 12040168 15050210 30100420 60200840