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142618960 = 24511433769
BaseRepresentation
bin10001000000000…
…11000101010000
3100221100210102201
420200003011100
5243002301320
622052452544
73351145501
oct1040030520
9327323381
10142618960
1173560810
123b91a154
1323716423
1414d26ba8
15c7c270a
hex8803150

142618960 has 80 divisors (see below), whose sum is σ = 370244160. Its totient is φ = 50641920.

The previous prime is 142618939. The next prime is 142618991. The reversal of 142618960 is 69816241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35956 + ... + 39724.

It is an arithmetic number, because the mean of its divisors is an integer number (4628052).

Almost surely, 2142618960 is an apocalyptic number.

142618960 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 142618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185122080).

142618960 is an abundant number, since it is smaller than the sum of its proper divisors (227625200).

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

142618960 is a wasteful number, since it uses less digits than its factorization.

142618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 142618960 is about 11942.3180329449. The cubic root of 142618960 is about 522.4672689981.

The spelling of 142618960 in words is "one hundred forty-two million, six hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3769 3784 4730 7538 7568 9460 15076 18845 18920 30152 37690 37840 41459 60304 75380 82918 150760 162067 165836 207295 301520 324134 331672 414590 648268 663344 810335 829180 1296536 1620670 1658360 1782737 2593072 3241340 3316720 3565474 6482680 7130948 8913685 12965360 14261896 17827370 28523792 35654740 71309480 142618960