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6990924080 = 245723157529
BaseRepresentation
bin1101000001011000…
…10000100100110000
3200001012122201222002
412200230100210300
5103304134032310
63113411433132
7335145605600
oct64054204460
920035581862
106990924080
112a68215808
1214312b57a8
13875478b8a
144a4676c00
152adb24da5
hex1a0b10930

6990924080 has 120 divisors (see below), whose sum is σ = 19517857920. Its totient is φ = 2319528960.

The previous prime is 6990924013. The next prime is 6990924131. The reversal of 6990924080 is 804290996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92756 + ... + 150284.

It is an arithmetic number, because the mean of its divisors is an integer number (162648816).

Almost surely, 26990924080 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 6990924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758928960).

6990924080 is an abundant number, since it is smaller than the sum of its proper divisors (12526933840).

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

6990924080 is a wasteful number, since it uses less digits than its factorization.

6990924080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57587 (or 57574 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 6990924080 is about 83611.7460647725. The cubic root of 6990924080 is about 1912.1040818559.

The spelling of 6990924080 in words is "six billion, nine hundred ninety million, nine hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 12152 15190 17360 24304 30380 57529 60760 115058 121520 230116 287645 402703 460232 575290 805406 920464 1150580 1610812 1783399 2013515 2301160 2818921 3221624 3566798 4027030 4602320 5637842 6443248 7133596 8054060 8916995 11275684 12483793 14094605 14267192 16108120 17833990 22551368 24967586 28189210 28534384 32216240 35667980 45102736 49935172 56378420 62418965 71335960 87386551 99870344 112756840 124837930 142671920 174773102 199740688 225513680 249675860 349546204 436932755 499351720 699092408 873865510 998703440 1398184816 1747731020 3495462040 6990924080