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1331620506 = 233176172351
BaseRepresentation
bin100111101011110…
…1110101010011010
310102210200022221000
41033113232222122
510211343324011
6340045125430
744666405346
oct11727565232
93383608830
101331620506
11623735217
12311b59876
13182b59738
14c8bd2626
157bd89356
hex4f5eea9a

1331620506 has 64 divisors (see below), whose sum is σ = 3139637760. Its totient is φ = 416908800.

The previous prime is 1331620471. The next prime is 1331620547. The reversal of 1331620506 is 6050261331.

1331620506 is a `hidden beast` number, since 1 + 3 + 31 + 620 + 5 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1331620506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565231 + ... + 567581.

It is an arithmetic number, because the mean of its divisors is an integer number (49056840).

Almost surely, 21331620506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331620506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569818880).

1331620506 is an abundant number, since it is smaller than the sum of its proper divisors (1808017254).

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

1331620506 is a wasteful number, since it uses less digits than its factorization.

1331620506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1331620506 is about 36491.3757756542. The cubic root of 1331620506 is about 1100.1709117353.

Adding to 1331620506 its reverse (6050261331), we get a palindrome (7381881837).

The spelling of 1331620506 in words is "one billion, three hundred thirty-one million, six hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 617 918 1234 1851 2351 3702 4702 5553 7053 10489 11106 14106 16659 20978 21159 31467 33318 39967 42318 62934 63477 79934 94401 119901 126954 188802 239802 283203 359703 566406 719406 1079109 1450567 2158218 2901134 4351701 8703402 13055103 24659639 26110206 39165309 49319278 73978917 78330618 147957834 221936751 443873502 665810253 1331620506