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142611520 = 2651373253
BaseRepresentation
bin10001000000000…
…01010001000000
3100221100102020011
420200001101000
5243002032040
622052354304
73351115012
oct1040012100
9327312204
10142611520
1173556167
123b915994
1323712c1c
1414d241b2
15c7c03ea
hex8801440

142611520 has 56 divisors (see below), whose sum is σ = 342177624. Its totient is φ = 56610816.

The previous prime is 142611517. The next prime is 142611527. The reversal of 142611520 is 25116241.

It can be written as a sum of positive squares in 4 ways, for example, as 62473216 + 80138304 = 7904^2 + 8952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142611491 and 142611500.

It is not an unprimeable number, because it can be changed into a prime (142611527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42214 + ... + 45466.

Almost surely, 2142611520 is an apocalyptic number.

142611520 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 142611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171088812).

142611520 is an abundant number, since it is smaller than the sum of its proper divisors (199566104).

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

142611520 is a wasteful number, since it uses less digits than its factorization.

142611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 142611520 is about 11942.0065315675. The cubic root of 142611520 is about 522.4581836608.

Adding to 142611520 its reverse (25116241), we get a palindrome (167727761).

The spelling of 142611520 in words is "one hundred forty-two million, six hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 2192 2740 3253 4384 5480 6506 8768 10960 13012 16265 21920 26024 32530 43840 52048 65060 104096 130120 208192 260240 445661 520480 891322 1040960 1782644 2228305 3565288 4456610 7130576 8913220 14261152 17826440 28522304 35652880 71305760 142611520