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142945936 = 2474612
BaseRepresentation
bin10001000010100…
…10111010010000
3100221222101221221
420201102322100
5243043232221
622103454424
73354010000
oct1041227220
9327871857
10142945936
1173764441
123ba57414
13237cc1c3
1414db0000
15c839541
hex8852e90

142945936 has 75 divisors (see below), whose sum is σ = 328481673. Its totient is φ = 60258240.

The previous prime is 142945931. The next prime is 142945939. The reversal of 142945936 is 639549241.

The square root of 142945936 is 11956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4648336 + 138297600 = 2156^2 + 11760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142945892 and 142945901.

It is not an unprimeable number, because it can be changed into a prime (142945931) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2343346 + ... + 2343406.

Almost surely, 2142945936 is an apocalyptic number.

142945936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142945936 is the 11956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142945936

142945936 is an abundant number, since it is smaller than the sum of its proper divisors (185535737).

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

142945936 is an frugal number, since it uses more digits than its factorization.

142945936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 70 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The cubic root of 142945936 is about 522.8662432278.

The spelling of 142945936 in words is "one hundred forty-two million, nine hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 343 392 427 488 686 784 854 976 1372 1708 2401 2744 2989 3416 3721 4802 5488 5978 6832 7442 9604 11956 14884 19208 20923 23912 26047 29768 38416 41846 47824 52094 59536 83692 104188 146461 167384 182329 208376 292922 334768 364658 416752 585844 729316 1171688 1276303 1458632 2343376 2552606 2917264 5105212 8934121 10210424 17868242 20420848 35736484 71472968 142945936