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1351411040 = 25577316529
BaseRepresentation
bin101000010001100…
…1110010101100000
310111011220210102202
41100203032111200
510231430123130
6342033232332
745326542610
oct12043162540
93434823382
101351411040
11633922131
123187026a8
13186c98705
14cb6a4a40
157d998145
hex508ce560

1351411040 has 96 divisors (see below), whose sum is σ = 3699017280. Its totient is φ = 456966144.

The previous prime is 1351411037. The next prime is 1351411057. The reversal of 1351411040 is 401141531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 73496 + ... + 90024.

It is an arithmetic number, because the mean of its divisors is an integer number (38531430).

Almost surely, 21351411040 is an apocalyptic number.

1351411040 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 1351411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849508640).

1351411040 is an abundant number, since it is smaller than the sum of its proper divisors (2347606240).

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

1351411040 is a wasteful number, since it uses less digits than its factorization.

1351411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16624 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1351411040 is about 36761.5429491201. The cubic root of 1351411040 is about 1105.5943759431.

Adding to 1351411040 its reverse (401141531), we get a palindrome (1752552571).

The spelling of 1351411040 in words is "one billion, three hundred fifty-one million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 16529 20440 33058 40880 66116 81760 82645 115703 132232 165290 231406 264464 330580 462812 528928 578515 661160 925624 1157030 1206617 1322320 1851248 2314060 2413234 2644640 3702496 4628120 4826468 6033085 8446319 9256240 9652936 12066170 16892638 18512480 19305872 24132340 33785276 38611744 42231595 48264680 67570552 84463190 96529360 135141104 168926380 193058720 270282208 337852760 675705520 1351411040