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142537950 = 23252893559
BaseRepresentation
bin10000111111011…
…11010011011110
3100221012200022100
420133233103132
5242442203300
622051025530
73350360352
oct1037572336
9327180270
10142537950
1173505965
123b89b2a6
13236b85a9
1414d05462
15c7a8700
hex87ef4de

142537950 has 72 divisors (see below), whose sum is σ = 387363600. Its totient is φ = 37572480.

The previous prime is 142537939. The next prime is 142537961. The reversal of 142537950 is 59735241.

It is an interprime number because it is at equal distance from previous prime (142537939) and next prime (142537961).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38271 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (5380050).

Almost surely, 2142537950 is an apocalyptic number.

142537950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142537950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193681800).

142537950 is an abundant number, since it is smaller than the sum of its proper divisors (244825650).

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

142537950 is a wasteful number, since it uses less digits than its factorization.

142537950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 142537950 is about 11938.9258310788. The cubic root of 142537950 is about 522.3683268243.

The spelling of 142537950 in words is "one hundred forty-two million, five hundred thirty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 150 178 225 267 445 450 534 801 890 1335 1602 2225 2670 3559 4005 4450 6675 7118 8010 10677 13350 17795 20025 21354 32031 35590 40050 53385 64062 88975 106770 160155 177950 266925 316751 320310 533850 633502 800775 950253 1583755 1601550 1900506 2850759 3167510 4751265 5701518 7918775 9502530 14253795 15837550 23756325 28507590 47512650 71268975 142537950