Search a number
-
+
1215135424 = 26193313019
BaseRepresentation
bin100100001101101…
…0111111011000000
310010200111021102201
41020123113323000
54442033313144
6320324322544
742053323606
oct11033277300
93120437381
101215135424
11573a04258
1229ab43454
13164993659
14b754d876
1571a2a1d4
hex486d7ec0

1215135424 has 56 divisors (see below), whose sum is σ = 2546705600. Its totient is φ = 573661440.

The previous prime is 1215135407. The next prime is 1215135431. The reversal of 1215135424 is 4245315121.

It is a junction number, because it is equal to n+sod(n) for n = 1215135392 and 1215135401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400987 + ... + 404005.

Almost surely, 21215135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273352800).

1215135424 is an abundant number, since it is smaller than the sum of its proper divisors (1331570176).

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

1215135424 is a wasteful number, since it uses less digits than its factorization.

1215135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3371 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 1215135424 is about 34858.7926354313. The cubic root of 1215135424 is about 1067.1076350362.

The spelling of 1215135424 in words is "one billion, two hundred fifteen million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 331 608 662 1216 1324 2648 3019 5296 6038 6289 10592 12076 12578 21184 24152 25156 48304 50312 57361 96608 100624 114722 193216 201248 229444 402496 458888 917776 999289 1835552 1998578 3671104 3997156 7994312 15988624 18986491 31977248 37972982 63954496 75945964 151891928 303783856 607567712 1215135424