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142179456 = 2733710007
BaseRepresentation
bin10000111100101…
…11110010000000
3100220112110112210
420132113302000
5242344220311
622035222120
73344335236
oct1036276200
9326473483
10142179456
1173290591
123b747940
13235c1373
1414c50956
15c7373a6
hex8797c80

142179456 has 64 divisors (see below), whose sum is σ = 387910080. Its totient is φ = 46107648.

The previous prime is 142179403. The next prime is 142179461. The reversal of 142179456 is 654971241.

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, 9205 + ... + 19211.

It is an arithmetic number, because the mean of its divisors is an integer number (6061095).

Almost surely, 2142179456 is an apocalyptic number.

142179456 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 142179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193955040).

142179456 is an abundant number, since it is smaller than the sum of its proper divisors (245730624).

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

142179456 is a wasteful number, since it uses less digits than its factorization.

142179456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10049 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 142179456 is about 11923.9027168121. The cubic root of 142179456 is about 521.9300268797.

The spelling of 142179456 in words is "one hundred forty-two million, one hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 10007 14208 20014 30021 40028 60042 80056 120084 160112 240168 320224 370259 480336 640448 740518 960672 1110777 1280896 1481036 1921344 2221554 2962072 3842688 4443108 5924144 8886216 11848288 17772432 23696576 35544864 47393152 71089728 142179456