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6870092940 = 22325127397757
BaseRepresentation
bin1100110010111110…
…10100110010001100
3122201210021212210200
412121133110302030
5103032220433230
63053413533500
7332150553324
oct63137246214
918653255720
106870092940
112a05a96567
1213b8944290
13856420869
144925c2284
152a3208160
hex1997d4c8c

6870092940 has 144 divisors (see below), whose sum is σ = 21084091392. Its totient is φ = 1810626048.

The previous prime is 6870092923. The next prime is 6870092947. The reversal of 6870092940 is 492900786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6870092947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9075042 + ... + 9075798.

Almost surely, 26870092940 is an apocalyptic number.

6870092940 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 6870092940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542045696).

6870092940 is an abundant number, since it is smaller than the sum of its proper divisors (14213998452).

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

6870092940 is a wasteful number, since it uses less digits than its factorization.

6870092940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6870092940 is about 82886.0237917105. The cubic root of 6870092940 is about 1901.0237271679.

The spelling of 6870092940 in words is "six billion, eight hundred seventy million, ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 397 508 635 757 762 794 1143 1191 1270 1514 1524 1588 1905 1985 2271 2286 2382 2540 3028 3573 3785 3810 3970 4542 4572 4764 5715 5955 6813 7146 7570 7620 7940 9084 11355 11430 11910 13626 14292 15140 17865 22710 22860 23820 27252 34065 35730 45420 50419 68130 71460 96139 100838 136260 151257 192278 201676 252095 288417 300529 302514 384556 453771 480695 504190 576834 601058 605028 756285 865251 901587 907542 961390 1008380 1153668 1202116 1442085 1502645 1512570 1730502 1803174 1815084 1922780 2268855 2704761 2884170 3005290 3025140 3461004 3606348 4326255 4507935 4537710 5409522 5768340 6010580 8652510 9015870 9075420 10819044 13523805 17305020 18031740 27047610 38167183 54095220 76334366 114501549 152668732 190835915 229003098 343504647 381671830 458006196 572507745 687009294 763343660 1145015490 1374018588 1717523235 2290030980 3435046470 6870092940