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2142363006 = 23472269887
BaseRepresentation
bin111111110110001…
…1101110101111110
312112022020022120000
41333230131311332
513341421104011
6552330135130
7104042533200
oct17754356576
95468208500
102142363006
119aa343043
124b95814a6
13281b01124
14164756770
15c8134356
hex7fb1dd7e

2142363006 has 60 divisors (see below), whose sum is σ = 5584252608. Its totient is φ = 612101448.

The previous prime is 2142362987. The next prime is 2142363019. The reversal of 2142363006 is 6003632412.

2142363006 is a `hidden beast` number, since 2 + 1 + 4 + 23 + 630 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127006 + ... + 142881.

Almost surely, 22142363006 is an apocalyptic number.

2142363006 is an abundant number, since it is smaller than the sum of its proper divisors (3441889602).

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

2142363006 is a wasteful number, since it uses less digits than its factorization.

2142363006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269915 (or 269899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2142363006 is about 46285.6673928334. The cubic root of 2142363006 is about 1289.1328840088.

Adding to 2142363006 its reverse (6003632412), we get a palindrome (8145995418).

The spelling of 2142363006 in words is "two billion, one hundred forty-two million, three hundred sixty-three thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 269887 539774 809661 1619322 1889209 2428983 3778418 4857966 5667627 7286949 11335254 13224463 14573898 17002881 21860847 26448926 34005762 39673389 43721694 51008643 79346778 102017286 119020167 153025929 238040334 306051858 357060501 714121002 1071181503 2142363006