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8069927440 = 2452931112207
BaseRepresentation
bin1111000010000000…
…10101001000010000
3202211101222210022111
413201000111020100
5113011400134230
63412434315104
7403660152151
oct74100251020
922741883274
108069927440
113471299a23
121692728a94
139b7b878c3
14567aab928
1532370e92a
hex1e1015210

8069927440 has 80 divisors (see below), whose sum is σ = 20035860480. Its totient is φ = 3016097280.

The previous prime is 8069927419. The next prime is 8069927447. The reversal of 8069927440 is 447299608.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8069927447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15817 + ... + 128023.

It is an arithmetic number, because the mean of its divisors is an integer number (250448256).

Almost surely, 28069927440 is an apocalyptic number.

8069927440 is a gapful number since it is divisible by the number (80) 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 8069927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017930240).

8069927440 is an abundant number, since it is smaller than the sum of its proper divisors (11965933040).

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

8069927440 is a wasteful number, since it uses less digits than its factorization.

8069927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112280 (or 112274 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 8069927440 is about 89832.7748653018. The cubic root of 8069927440 is about 2005.8103900038.

The spelling of 8069927440 in words is "eight billion, sixty-nine million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1798 2320 2480 3596 4495 7192 8990 14384 17980 35960 71920 112207 224414 448828 561035 897656 1122070 1795312 2244140 3254003 3478417 4488280 6508006 6956834 8976560 13016012 13913668 16270015 17392085 26032024 27827336 32540030 34784170 52064048 55654672 65080060 69568340 100874093 130160120 139136680 201748186 260320240 278273360 403496372 504370465 806992744 1008740930 1613985488 2017481860 4034963720 8069927440