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1351057240 = 235136174211
BaseRepresentation
bin101000010000111…
…0111111101011000
310111011020211010001
41100201313331120
510231332312430
6342021502344
745323540251
oct12041677530
93434224101
101351057240
11633700335
123185719b4
13186ba3670
14cb611b28
157d9283ca
hex50877f58

1351057240 has 64 divisors (see below), whose sum is σ = 3279800160. Its totient is φ = 497925120.

The previous prime is 1351057231. The next prime is 1351057243. The reversal of 1351057240 is 427501531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1351057199 and 1351057208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351057243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318735 + ... + 322945.

Almost surely, 21351057240 is an apocalyptic number.

1351057240 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 1351057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639900080).

1351057240 is an abundant number, since it is smaller than the sum of its proper divisors (1928742920).

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

1351057240 is a wasteful number, since it uses less digits than its factorization.

1351057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1351057240 is about 36756.7305401337. The cubic root of 1351057240 is about 1105.4978858255.

Adding to 1351057240 its reverse (427501531), we get a palindrome (1778558771).

The spelling of 1351057240 in words is "one billion, three hundred fifty-one million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 617 1234 2468 3085 4211 4936 6170 8021 8422 12340 16042 16844 21055 24680 32084 33688 40105 42110 54743 64168 80210 84220 109486 160420 168440 218972 273715 320840 437944 547430 1094860 2189720 2598187 5196374 10392748 12990935 20785496 25981870 33776431 51963740 67552862 103927480 135105724 168882155 270211448 337764310 675528620 1351057240