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142371840 = 21035132331
BaseRepresentation
bin10000111110001…
…10110000000000
3100220220020110010
420133012300000
5242421344330
622043304520
73346066152
oct1037066000
9326806403
10142371840
1173402086
123b81b140
132365aac0
1414ca0ad2
15c7743b0
hex87c6c00

142371840 has 352 divisors, whose sum is σ = 528224256. Its totient is φ = 32440320.

The previous prime is 142371797. The next prime is 142371841. The reversal of 142371840 is 48173241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142371798 and 142371807.

It is not an unprimeable number, because it can be changed into a prime (142371841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4592625 + ... + 4592655.

Almost surely, 2142371840 is an apocalyptic number.

142371840 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 142371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264112128).

142371840 is an abundant number, since it is smaller than the sum of its proper divisors (385852416).

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

142371840 is a wasteful number, since it uses less digits than its factorization.

142371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 142371840 is about 11931.9671471221. The cubic root of 142371840 is about 522.1653298182.

The spelling of 142371840 in words is "one hundred forty-two million, three hundred seventy-one thousand, eight hundred forty".