Search a number
-
+
6896326440 = 2335232986161
BaseRepresentation
bin1100110110000110…
…11001011100101000
3122210121122200101210
412123003121130220
5103110424421230
63100152113120
7332616543663
oct63303313450
918717580353
106896326440
112a19884143
1214056957a0
1385b9a7343
14495c906da
152a568aeb0
hex19b0d9728

6896326440 has 128 divisors (see below), whose sum is σ = 22333190400. Its totient is φ = 1698385920.

The previous prime is 6896326427. The next prime is 6896326477. The reversal of 6896326440 is 446236986.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6896326440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36960 + ... + 123120.

It is an arithmetic number, because the mean of its divisors is an integer number (174478050).

Almost surely, 26896326440 is an apocalyptic number.

6896326440 is a gapful number since it is divisible by the number (60) 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 6896326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166595200).

6896326440 is an abundant number, since it is smaller than the sum of its proper divisors (15436863960).

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

6896326440 is a wasteful number, since it uses less digits than its factorization.

6896326440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86227 (or 86223 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 6896326440 is about 83044.1234525358. The cubic root of 6896326440 is about 1903.4403448050.

It can be divided in two parts, 6896 and 326440, that added together give a triangular number (333336 = T816).

The spelling of 6896326440 in words is "six billion, eight hundred ninety-six million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 40020 80040 86161 172322 258483 344644 430805 516966 689288 861610 1033932 1292415 1723220 1981703 2067864 2498669 2584830 3446440 3963406 4997338 5169660 5945109 7496007 7926812 9908515 9994676 10339320 11890218 12493345 14992014 15853624 19817030 19989352 23780436 24986690 29725545 29984028 37480035 39634060 47560872 49973380 57469387 59451090 59968056 74960070 79268120 99946760 114938774 118902180 149920140 172408161 229877548 237804360 287346935 299840280 344816322 459755096 574693870 689632644 862040805 1149387740 1379265288 1724081610 2298775480 3448163220 6896326440