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142271640 = 2336571741
BaseRepresentation
bin10000111101011…
…10010010011000
3100220201011000000
420132232102120
5242410143030
622041213000
73345201060
oct1036562230
9326634000
10142271640
1173343875
123b791160
1323624304
1414c763a0
15c754860
hex87ae498

142271640 has 448 divisors, whose sum is σ = 594941760. Its totient is φ = 29859840.

The previous prime is 142271561. The next prime is 142271641. The reversal of 142271640 is 46172241.

142271640 is a `hidden beast` number, since 14 + 2 + 2 + 7 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142271641) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 3470020 + ... + 3470060.

It is an arithmetic number, because the mean of its divisors is an integer number (1327995).

Almost surely, 2142271640 is an apocalyptic number.

142271640 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 142271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297470880).

142271640 is an abundant number, since it is smaller than the sum of its proper divisors (452670120).

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

142271640 is a wasteful number, since it uses less digits than its factorization.

142271640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 142271640 is about 11927.7676033699. The cubic root of 142271640 is about 522.0428026733.

The spelling of 142271640 in words is "one hundred forty-two million, two hundred seventy-one thousand, six hundred forty".