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2135240536 = 2311213295851
BaseRepresentation
bin111111101000101…
…0010111101011000
312111210211110100211
41333101102331120
513333110144121
6551513340504
7103625150032
oct17721227530
95453743324
102135240536
119a6318900
124b7107734
132804a9250
14163820c52
15c76c8ce1
hex7f452f58

2135240536 has 96 divisors (see below), whose sum is σ = 4903390800. Its totient is φ = 864864000.

The previous prime is 2135240473. The next prime is 2135240561. The reversal of 2135240536 is 6350425312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2135240498 and 2135240507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362011 + ... + 367861.

Almost surely, 22135240536 is an apocalyptic number.

2135240536 is a gapful number since it is divisible by the number (26) 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 2135240536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451695400).

2135240536 is an abundant number, since it is smaller than the sum of its proper divisors (2768150264).

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

2135240536 is a wasteful number, since it uses less digits than its factorization.

2135240536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2135240536 is about 46208.6629973212. The cubic root of 2135240536 is about 1287.7026868634.

Adding to 2135240536 its reverse (6350425312), we get a palindrome (8485665848).

The spelling of 2135240536 in words is "two billion, one hundred thirty-five million, two hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 121 143 232 242 286 319 377 484 572 638 754 968 1144 1276 1508 1573 2552 3016 3146 3509 4147 5851 6292 7018 8294 11702 12584 14036 16588 23404 28072 33176 45617 46808 64361 76063 91234 128722 152126 169679 182468 257444 304252 339358 364936 514888 608504 678716 707971 836693 1357432 1415942 1673386 1866469 2205827 2831884 3346772 3732938 4411654 5663768 6693544 7465876 8823308 9203623 14931752 17646616 18407246 20531159 24264097 36814492 41062318 48528194 73628984 82124636 97056388 164249272 194112776 266905067 533810134 1067620268 2135240536