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142737924 = 22371998539
BaseRepresentation
bin10001000001000…
…00001000000100
3100221120211121210
420200200020010
5243020103144
622055211420
73352152360
oct1040401004
9327524553
10142737924
117363212a
123b976b70
1323758614
1414d582a0
15c7e7ab9
hex8820204

142737924 has 48 divisors (see below), whose sum is σ = 382592000. Its totient is φ = 40572576.

The previous prime is 142737923. The next prime is 142737943. The reversal of 142737924 is 429737241.

It is a super-2 number, since 2×1427379242 = 40748229895659552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142737923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12447 + ... + 20985.

Almost surely, 2142737924 is an apocalyptic number.

142737924 is a gapful number since it is divisible by the number (14) 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 142737924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191296000).

142737924 is an abundant number, since it is smaller than the sum of its proper divisors (239854076).

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

142737924 is a wasteful number, since it uses less digits than its factorization.

142737924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8750 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 142737924 is about 11947.2977697888. The cubic root of 142737924 is about 522.6124986887.

The spelling of 142737924 in words is "one hundred forty-two million, seven hundred thirty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 8539 16716 17078 25617 34156 51234 59773 102468 119546 179319 239092 358638 717276 1699261 3398522 5097783 6797044 10195566 11894827 20391132 23789654 35684481 47579308 71368962 142737924