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142122720 = 25351717417
BaseRepresentation
bin10000111100010…
…01111011100000
3100220102120201110
420132021323200
5242340411340
622034103320
73344010645
oct1036117340
9326376643
10142122720
11732519a3
123b71ab40
13235a15ac
1414c37dcc
15c725680
hex8789ee0

142122720 has 96 divisors (see below), whose sum is σ = 474048288. Its totient is φ = 35667968.

The previous prime is 142122719. The next prime is 142122749. The reversal of 142122720 is 27221241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (4938003).

Almost surely, 2142122720 is an apocalyptic number.

142122720 is a gapful number since it is divisible by the number (10) 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 142122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237024144).

142122720 is an abundant number, since it is smaller than the sum of its proper divisors (331925568).

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

142122720 is a wasteful number, since it uses less digits than its factorization.

142122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452 (or 17444 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 142122720 is about 11921.5233925870. The cubic root of 142122720 is about 521.8605931218.

Adding to 142122720 its reverse (27221241), we get a palindrome (169343961).

The spelling of 142122720 in words is "one hundred forty-two million, one hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 17417 34834 52251 69668 87085 104502 139336 174170 209004 261255 278672 296089 348340 418008 522510 557344 592178 696680 836016 888267 1045020 1184356 1393360 1480445 1672032 1776534 2090040 2368712 2786720 2960890 3553068 4180080 4441335 4737424 5921780 7106136 8360160 8882670 9474848 11843560 14212272 17765340 23687120 28424544 35530680 47374240 71061360 142122720