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142597024 = 253124637
BaseRepresentation
bin10000111111111…
…01101110100000
3100221022200100021
420133331232200
5243001101044
622052203224
73351024523
oct1037755640
9327280307
10142597024
1173546289
123b909514
132370944b
1414d1cbba
15c7bae84
hex87fdba0

142597024 has 36 divisors (see below), whose sum is σ = 290148642. Its totient is φ = 68983680.

The previous prime is 142596991. The next prime is 142597051. The reversal of 142597024 is 420795241.

It can be written as a sum of positive squares in only one way, i.e., 132987024 + 9610000 = 11532^2 + 3100^2 .

It is a super-2 number, since 2×1425970242 = 40667822507313152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28434 + ... + 33070.

Almost surely, 2142597024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142597024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145074321).

142597024 is an abundant number, since it is smaller than the sum of its proper divisors (147551618).

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

142597024 is an equidigital number, since it uses as much as digits as its factorization.

142597024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 142597024 is about 11941.3995829635. The cubic root of 142597024 is about 522.4404809992.

The spelling of 142597024 in words is "one hundred forty-two million, five hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 4637 7688 9274 15376 18548 30752 37096 74192 143747 148384 287494 574988 1149976 2299952 4456157 4599904 8912314 17824628 35649256 71298512 142597024