Search a number
-
+
1013345040 = 243523183577
BaseRepresentation
bin111100011001100…
…110101100010000
32121121210021001210
4330121212230100
54033404020130
6244315300120
734053201501
oct7431465420
92547707053
101013345040
11480009144
1224344a640
13131c30466
1498822ba8
155de6a5b0
hex3c666b10

1013345040 has 80 divisors (see below), whose sum is σ = 3277968768. Its totient is φ = 258475008.

The previous prime is 1013345029. The next prime is 1013345071. The reversal of 1013345040 is 405433101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1013344998 and 1013345016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86269 + ... + 97308.

Almost surely, 21013345040 is an apocalyptic number.

1013345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013345040 is an abundant number, since it is smaller than the sum of its proper divisors (2264623728).

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

1013345040 is a wasteful number, since it uses less digits than its factorization.

1013345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183616 (or 183610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1013345040 is about 31833.0809065035. The cubic root of 1013345040 is about 1004.4287042910.

Adding to 1013345040 its reverse (405433101), we get a palindrome (1418778141).

The spelling of 1013345040 in words is "one billion, thirteen million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 183577 367154 550731 734308 917885 1101462 1468616 1835770 2202924 2753655 2937232 3671540 4222271 4405848 5507310 7343080 8444542 8811696 11014620 12666813 14686160 16889084 21111355 22029240 25333626 33778168 42222710 44058480 50667252 63334065 67556336 84445420 101334504 126668130 168890840 202669008 253336260 337781680 506672520 1013345040