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142420520 = 235111731871
BaseRepresentation
bin10000111110100…
…10101000101000
3100220222201020002
420133102220220
5242424424040
622044322132
73346361114
oct1037225050
9326881202
10142420520
1173435710
123b843348
1323676cc8
1414cb4744
15c783a15
hex87d2a28

142420520 has 64 divisors (see below), whose sum is σ = 351786240. Its totient is φ = 51462400.

The previous prime is 142420517. The next prime is 142420529. The reversal of 142420520 is 25024241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142420492 and 142420501.

It is not an unprimeable number, because it can be changed into a prime (142420529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75185 + ... + 77055.

It is an arithmetic number, because the mean of its divisors is an integer number (5496660).

Almost surely, 2142420520 is an apocalyptic number.

142420520 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 142420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175893120).

142420520 is an abundant number, since it is smaller than the sum of its proper divisors (209365720).

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

142420520 is a wasteful number, since it uses less digits than its factorization.

142420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 142420520 is about 11934.0068711225. The cubic root of 142420520 is about 522.2248362292.

Adding to 142420520 its reverse (25024241), we get a palindrome (167444761).

The spelling of 142420520 in words is "one hundred forty-two million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1871 1903 3460 3742 3806 6920 7484 7612 9355 9515 14968 15224 18710 19030 20581 37420 38060 41162 74840 76120 82324 102905 164648 205810 323683 411620 647366 823240 1294732 1618415 2589464 3236830 3560513 6473660 7121026 12947320 14242052 17802565 28484104 35605130 71210260 142420520