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142145960 = 23511243683
BaseRepresentation
bin10000111100011…
…11100110101000
3100220110202121012
420132033212220
5242342132320
622034403052
73344135465
oct1036174650
9326422535
10142145960
1173268400
123b730488
13235ac048
1414c4266c
15c72c4c5
hex878f9a8

142145960 has 96 divisors (see below), whose sum is σ = 360249120. Its totient is φ = 50413440.

The previous prime is 142145933. The next prime is 142145963. The reversal of 142145960 is 69541241.

142145960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142145963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207779 + ... + 208461.

It is an arithmetic number, because the mean of its divisors is an integer number (3752595).

Almost surely, 2142145960 is an apocalyptic number.

142145960 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 142145960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180124560).

142145960 is an abundant number, since it is smaller than the sum of its proper divisors (218103160).

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

142145960 is a wasteful number, since it uses less digits than its factorization.

142145960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 142145960 is about 11922.4980603899. The cubic root of 142145960 is about 521.8890365665.

The spelling of 142145960 in words is "one hundred forty-two million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 121 172 215 220 242 344 430 440 473 484 605 683 860 946 968 1210 1366 1720 1892 2365 2420 2732 3415 3784 4730 4840 5203 5464 6830 7513 9460 10406 13660 15026 18920 20812 26015 27320 29369 30052 37565 41624 52030 58738 60104 75130 82643 104060 117476 146845 150260 165286 208120 234952 293690 300520 323059 330572 413215 587380 646118 661144 826430 1174760 1292236 1615295 1652860 2584472 3230590 3305720 3553649 6461180 7107298 12922360 14214596 17768245 28429192 35536490 71072980 142145960