Search a number
-
+
6840021288 = 233312714177
BaseRepresentation
bin1100101111011001…
…00111000100101000
3122122200201002020210
412113230213010220
5103002021140123
63050421221120
7331334136012
oct62754470450
918580632223
106840021288
1129a0017261
1213aa8617a0
13850122099
1448c5d51b2
152a0767e93
hex197b27128

6840021288 has 96 divisors (see below), whose sum is σ = 17922617280. Its totient is φ = 2174860800.

The previous prime is 6840021173. The next prime is 6840021311. The reversal of 6840021288 is 8821200486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635456 + ... + 1639632.

It is an arithmetic number, because the mean of its divisors is an integer number (186693930).

Almost surely, 26840021288 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 6840021288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961308640).

6840021288 is an abundant number, since it is smaller than the sum of its proper divisors (11082595992).

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

6840021288 is a wasteful number, since it uses less digits than its factorization.

6840021288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 6840021288 is about 82704.4212119280. The cubic root of 6840021288 is about 1898.2459608932.

The spelling of 6840021288 in words is "six billion, eight hundred forty million, twenty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 961 1704 1922 2201 2883 3844 4177 4402 5766 6603 7688 8354 8804 11532 12531 13206 16708 17608 23064 25062 26412 33416 50124 52824 68231 100248 129487 136462 204693 258974 272924 296567 388461 409386 517948 545848 593134 776922 818772 889701 1035896 1186268 1553844 1637544 1779402 2372536 3107688 3558804 4014097 7117608 8028194 9193577 12042291 16056388 18387154 24084582 27580731 32112776 36774308 48169164 55161462 73548616 96338328 110322924 220645848 285000887 570001774 855002661 1140003548 1710005322 2280007096 3420010644 6840021288