Search a number
-
+
80707104 = 253597107
BaseRepresentation
bin1001100111101…
…11111000100000
312121212100100000
410303313320200
5131130111404
612001500000
71666666452
oct463677040
9177770300
1080707104
1141614495
1223041600
131394a1aa
14aa0c2d2
157143339
hex4cf7e20

80707104 has 144 divisors (see below), whose sum is σ = 242712288. Its totient is φ = 26376192.

The previous prime is 80707097. The next prime is 80707127. The reversal of 80707104 is 40170708.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754219 + ... + 754325.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 280707104 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 80707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121356144).

80707104 is an abundant number, since it is smaller than the sum of its proper divisors (162005184).

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

80707104 is a wasteful number, since it uses less digits than its factorization.

80707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 80707104 is about 8983.7132634563. The cubic root of 80707104 is about 432.1527237794.

The spelling of 80707104 in words is "eighty million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 107 108 144 162 194 214 216 243 288 291 321 324 388 428 432 486 582 642 648 776 856 864 873 963 972 1164 1284 1296 1552 1712 1746 1926 1944 2328 2568 2592 2619 2889 3104 3424 3492 3852 3888 4656 5136 5238 5778 6984 7704 7776 7857 8667 9312 10272 10379 10476 11556 13968 15408 15714 17334 20758 20952 23112 23571 26001 27936 30816 31137 31428 34668 41516 41904 46224 47142 52002 62274 62856 69336 83032 83808 92448 93411 94284 104004 124548 125712 138672 166064 186822 188568 208008 249096 251424 277344 280233 332128 373644 377136 416016 498192 560466 747288 754272 832032 840699 996384 1120932 1494576 1681398 2241864 2522097 2989152 3362796 4483728 5044194 6725592 8967456 10088388 13451184 20176776 26902368 40353552 80707104