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142746096 = 24323239541
BaseRepresentation
bin10001000001000…
…10000111110000
3100221121020211110
420200202013300
5243020333341
622055313320
73352215243
oct1040420760
9327536743
10142746096
1173638289
123b97b840
132375c25c
1414d5b25a
15c7ea216
hex88221f0

142746096 has 80 divisors (see below), whose sum is σ = 387118080. Its totient is φ = 45239040.

The previous prime is 142746077. The next prime is 142746101. The reversal of 142746096 is 690647241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263586 + ... + 264126.

It is an arithmetic number, because the mean of its divisors is an integer number (4838976).

Almost surely, 2142746096 is an apocalyptic number.

142746096 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 142746096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559040).

142746096 is an abundant number, since it is smaller than the sum of its proper divisors (244371984).

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

142746096 is a wasteful number, since it uses less digits than its factorization.

142746096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 142746096 is about 11947.6397669163. The cubic root of 142746096 is about 522.6224719967.

The spelling of 142746096 in words is "one hundred forty-two million, seven hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 239 276 368 478 541 552 717 956 1082 1104 1434 1623 1912 2164 2868 3246 3824 4328 5497 5736 6492 8656 10994 11472 12443 12984 16491 21988 24886 25968 32982 37329 43976 49772 65964 74658 87952 99544 129299 131928 149316 199088 258598 263856 298632 387897 517196 597264 775794 1034392 1551588 2068784 2973877 3103176 5947754 6206352 8921631 11895508 17843262 23791016 35686524 47582032 71373048 142746096