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142765696 = 2719471249
BaseRepresentation
bin10001000001001…
…10111010000000
3100221122020201101
420200212322000
5243022000241
622055544144
73352326343
oct1040467200
9327566641
10142765696
1173650a87
123b98b054
1323768158
1414d6445a
15c800e31
hex8826e80

142765696 has 64 divisors (see below), whose sum is σ = 306000000. Its totient is φ = 66134016.

The previous prime is 142765673. The next prime is 142765739. The reversal of 142765696 is 696567241.

142765696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 113680 + ... + 114928.

It is an arithmetic number, because the mean of its divisors is an integer number (4781250).

Almost surely, 2142765696 is an apocalyptic number.

142765696 is a gapful number since it is divisible by the number (16) 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 142765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000000).

142765696 is an abundant number, since it is smaller than the sum of its proper divisors (163234304).

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

142765696 is a wasteful number, since it uses less digits than its factorization.

142765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 142765696 is about 11948.4599844499. The cubic root of 142765696 is about 522.6463907633.

The spelling of 142765696 in words is "one hundred forty-two million, seven hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 304 376 608 752 893 1216 1249 1504 1786 2432 2498 3008 3572 4996 6016 7144 9992 14288 19984 23731 28576 39968 47462 57152 58703 79936 94924 114304 117406 159872 189848 234812 379696 469624 759392 939248 1115357 1518784 1878496 2230714 3037568 3756992 4461428 7513984 8922856 17845712 35691424 71382848 142765696