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1317054640 = 245115925367
BaseRepresentation
bin100111010000000…
…1010100010110000
310101210021022022111
41032200022202300
510144131222030
6334405015104
744431531306
oct11640124260
93353238274
101317054640
11616496710
123090b4494
1317cb29895
14c6cc0276
157a95d62a
hex4e80a8b0

1317054640 has 80 divisors (see below), whose sum is σ = 3397282560. Its totient is φ = 470792960.

The previous prime is 1317054619. The next prime is 1317054647. The reversal of 1317054640 is 464507131.

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

It is a super-4 number, since 4×13170546404 (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317054647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39237 + ... + 64603.

It is an arithmetic number, because the mean of its divisors is an integer number (42466032).

Almost surely, 21317054640 is an apocalyptic number.

1317054640 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 1317054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698641280).

1317054640 is an abundant number, since it is smaller than the sum of its proper divisors (2080227920).

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

1317054640 is a wasteful number, since it uses less digits than its factorization.

1317054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25450 (or 25444 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1317054640 is about 36291.2474296489. The cubic root of 1317054640 is about 1096.1448074424.

The spelling of 1317054640 in words is "one billion, three hundred seventeen million, fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25367 25960 50734 51920 101468 126835 202936 253670 279037 405872 507340 558074 1014680 1116148 1395185 1496653 2029360 2232296 2790370 2993306 4464592 5580740 5986612 7483265 11161480 11973224 14966530 16463183 22322960 23946448 29933060 32926366 59866120 65852732 82315915 119732240 131705464 164631830 263410928 329263660 658527320 1317054640