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142679968 = 2519474993
BaseRepresentation
bin10001000000100…
…01111110100000
3100221110220010021
420200101332200
5243011224333
622054043224
73351521404
oct1040217640
9327426107
10142679968
11735a2632
123b949514
1323738122
1414d41104
15c7d582d
hex8811fa0

142679968 has 48 divisors (see below), whose sum is σ = 302037120. Its totient is φ = 66134016.

The previous prime is 142679923. The next prime is 142679969. The reversal of 142679968 is 869976241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142679969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26080 + ... + 31072.

It is an arithmetic number, because the mean of its divisors is an integer number (6292440).

Almost surely, 2142679968 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 142679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151018560).

142679968 is an abundant number, since it is smaller than the sum of its proper divisors (159357152).

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

142679968 is a wasteful number, since it uses less digits than its factorization.

142679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5061 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 142679968 is about 11944.8720378244. The cubic root of 142679968 is about 522.5417568484.

The spelling of 142679968 in words is "one hundred forty-two million, six hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 188 304 376 608 752 893 1504 1786 3572 4993 7144 9986 14288 19972 28576 39944 79888 94867 159776 189734 234671 379468 469342 758936 938684 1517872 1877368 3035744 3754736 4458749 7509472 8917498 17834996 35669992 71339984 142679968