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142101792 = 2532770487
BaseRepresentation
bin10000111100001…
…00110100100000
3100220101112000100
420132010310200
5242334224132
622033422400
73343562640
oct1036046440
9326345010
10142101792
11732381a8
123b70aa00
1323594c01
1414c30520
15c71e37c
hex8784d20

142101792 has 72 divisors (see below), whose sum is σ = 461837376. Its totient is φ = 40599936.

The previous prime is 142101781. The next prime is 142101811. The reversal of 142101792 is 297101241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1421017922 = 40385838579222528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33228 + ... + 37259.

It is an arithmetic number, because the mean of its divisors is an integer number (6414408).

Almost surely, 2142101792 is an apocalyptic number.

142101792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142101792 is an abundant number, since it is smaller than the sum of its proper divisors (319735584).

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

142101792 is a wasteful number, since it uses less digits than its factorization.

142101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70510 (or 70499 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 142101792 is about 11920.6456200996. The cubic root of 142101792 is about 521.8349766813.

The spelling of 142101792 in words is "one hundred forty-two million, one hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 70487 140974 211461 281948 422922 493409 563896 634383 845844 986818 1127792 1268766 1480227 1691688 1973636 2255584 2537532 2960454 3383376 3947272 4440681 5075064 5920908 6766752 7894544 8881362 10150128 11841816 15789088 17762724 20300256 23683632 35525448 47367264 71050896 142101792