Search a number
-
+
1317095640 = 23345758073
BaseRepresentation
bin100111010000001…
…0100100011011000
310101210100101120000
41032200110203120
510144134030030
6334405533000
744432061660
oct11640244330
93353311500
101317095640
116165144a3
12309114160
1317cb42443
14c6cd11a0
157a96a860
hex4e8148d8

1317095640 has 160 divisors (see below), whose sum is σ = 5059406880. Its totient is φ = 301045248.

The previous prime is 1317095579. The next prime is 1317095641. The reversal of 1317095640 is 465907131.

1317095640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 0 + 9 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1317095595 and 1317095604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317095641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6357 + ... + 51716.

It is an arithmetic number, because the mean of its divisors is an integer number (31621293).

Almost surely, 21317095640 is an apocalyptic number.

1317095640 is a gapful number since it is divisible by the number (10) 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 1317095640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529703440).

1317095640 is an abundant number, since it is smaller than the sum of its proper divisors (3742311240).

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

1317095640 is a wasteful number, since it uses less digits than its factorization.

1317095640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58103 (or 58090 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1317095640 is about 36291.8122997461. The cubic root of 1317095640 is about 1096.1561816784.

The spelling of 1317095640 in words is "one billion, three hundred seventeen million, ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 58073 116146 174219 232292 290365 348438 406511 464584 522657 580730 696876 813022 871095 1045314 1161460 1219533 1393752 1567971 1626044 1742190 2032555 2090628 2322920 2439066 2613285 3135942 3252088 3484380 3658599 4065110 4181256 4703913 4878132 5226570 6097665 6271884 6968760 7317198 7839855 8130220 9407826 9756264 10453140 10975797 12195330 12543768 14634396 15679710 16260440 18292995 18815652 20906280 21951594 23519565 24390660 29268792 31359420 32927391 36585990 37631304 43903188 47039130 48781320 54878985 62718840 65854782 73171980 87806376 94078260 109757970 131709564 146343960 164636955 188156520 219515940 263419128 329273910 439031880 658547820 1317095640