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142309664 = 2575311987
BaseRepresentation
bin10000111101101…
…11100100100000
3100220210002011022
420132313210200
5242412402124
622042105012
73345416660
oct1036674440
9326702138
10142309664
117336a3a2
123b7ab168
1323638703
1414c861a0
15c760c5e
hex87b7920

142309664 has 48 divisors (see below), whose sum is σ = 326265408. Its totient is φ = 59834112.

The previous prime is 142309649. The next prime is 142309681. The reversal of 142309664 is 466903241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5879 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (6797196).

Almost surely, 2142309664 is an apocalyptic number.

142309664 is a gapful number since it is divisible by the number (14) 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 142309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163132704).

142309664 is an abundant number, since it is smaller than the sum of its proper divisors (183955744).

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

142309664 is a wasteful number, since it uses less digits than its factorization.

142309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 142309664 is about 11929.3614246530. The cubic root of 142309664 is about 522.0893061727.

The spelling of 142309664 in words is "one hundred forty-two million, three hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 11872 11987 23974 47948 83909 95896 167818 191792 335636 383584 635311 671272 1270622 1342544 2541244 2685088 4447177 5082488 8894354 10164976 17788708 20329952 35577416 71154832 142309664