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142812096 = 2637591801
BaseRepresentation
bin10001000001100…
…10001111000000
3100221201121100220
420200302033000
5243024441341
622100543040
73352611540
oct1040621700
9327647326
10142812096
1173682929
123b9b1a80
13237832cb
1414d77320
15c80ea66
hex88323c0

142812096 has 112 divisors (see below), whose sum is σ = 439399680. Its totient is φ = 40089600.

The previous prime is 142812091. The next prime is 142812101. The reversal of 142812096 is 690218241.

142812096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142812091) and next prime (142812101).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142812091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78396 + ... + 80196.

Almost surely, 2142812096 is an apocalyptic number.

142812096 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 142812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219699840).

142812096 is an abundant number, since it is smaller than the sum of its proper divisors (296587584).

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

142812096 is a wasteful number, since it uses less digits than its factorization.

142812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 142812096 is about 11950.4014995313. The cubic root of 142812096 is about 522.7030060578.

The spelling of 142812096 in words is "one hundred forty-two million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1801 1888 2478 2832 3304 3602 3776 4956 5403 5664 6608 7204 9912 10806 11328 12607 13216 14408 19824 21612 25214 26432 28816 37821 39648 43224 50428 57632 75642 79296 86448 100856 106259 115264 151284 172896 201712 212518 302568 318777 345792 403424 425036 605136 637554 743813 806848 850072 1210272 1275108 1487626 1700144 2231439 2420544 2550216 2975252 3400288 4462878 5100432 5950504 6800576 8925756 10200864 11901008 17851512 20401728 23802016 35703024 47604032 71406048 142812096