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8064767340 = 22325716738327
BaseRepresentation
bin1111000001011001…
…01001010101101100
3202211001021121222200
413200230221111230
5113004040023330
63412131541500
7403565251140
oct74054512554
922731247880
108064767340
113469395083
121690a5a890
139b6a9bca6
14567127220
15323040a60
hex1e0b2956c

8064767340 has 144 divisors (see below), whose sum is σ = 28126006272. Its totient is φ = 1832289408.

The previous prime is 8064767339. The next prime is 8064767371. The reversal of 8064767340 is 437674608.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191257 + ... + 229583.

It is an arithmetic number, because the mean of its divisors is an integer number (195319488).

Almost surely, 28064767340 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 8064767340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063003136).

8064767340 is an abundant number, since it is smaller than the sum of its proper divisors (20061238932).

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

8064767340 is a wasteful number, since it uses less digits than its factorization.

8064767340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38516 (or 38511 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 8064767340 is about 89804.0496859691. The cubic root of 8064767340 is about 2005.3827781860.

The spelling of 8064767340 in words is "eight billion, sixty-four million, seven hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 167 180 210 252 315 334 420 501 630 668 835 1002 1169 1260 1503 1670 2004 2338 2505 3006 3340 3507 4676 5010 5845 6012 7014 7515 10020 10521 11690 14028 15030 17535 21042 23380 30060 35070 38327 42084 52605 70140 76654 105210 114981 153308 191635 210420 229962 268289 344943 383270 459924 536578 574905 689886 766540 804867 1073156 1149810 1341445 1379772 1609734 1724715 2299620 2414601 2682890 3219468 3449430 4024335 4829202 5365780 6400609 6898860 8048670 9658404 12073005 12801218 16097340 19201827 24146010 25602436 32003045 38403654 44804263 48292020 57605481 64006090 76807308 89608526 96009135 115210962 128012180 134412789 179217052 192018270 224021315 230421924 268825578 288027405 384036540 403238367 448042630 537651156 576054810 672063945 806476734 896085260 1152109620 1344127890 1612953468 2016191835 2688255780 4032383670 8064767340