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142075408 = 24291272411
BaseRepresentation
bin10000111011111…
…10011000010000
3100220100011211011
420131332120100
5242332403113
622033100304
73343423006
oct1035763020
9326304734
10142075408
117321a3a2
123b6b7694
1323585bb7
1414c24a76
15c71663d
hex877e610

142075408 has 40 divisors (see below), whose sum is σ = 287124480. Its totient is φ = 68019840.

The previous prime is 142075403. The next prime is 142075411. The reversal of 142075408 is 804570241.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 142075408.

It is not an unprimeable number, because it can be changed into a prime (142075403) 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 7 ways as a sum of consecutive naturals, for example, 57723 + ... + 60133.

It is an arithmetic number, because the mean of its divisors is an integer number (7178112).

Almost surely, 2142075408 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 142075408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143562240).

142075408 is an abundant number, since it is smaller than the sum of its proper divisors (145049072).

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

142075408 is a wasteful number, since it uses less digits than its factorization.

142075408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 142075408 is about 11919.5389172568. The cubic root of 142075408 is about 521.8026783642.

The spelling of 142075408 in words is "one hundred forty-two million, seventy-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 2032 2411 3683 4822 7366 9644 14732 19288 29464 38576 58928 69919 139838 279676 306197 559352 612394 1118704 1224788 2449576 4899152 8879713 17759426 35518852 71037704 142075408