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142923960 = 23335592243
BaseRepresentation
bin10001000010011…
…01100010111000
3100221221021211000
420201031202320
5243042031320
622103205000
73353555634
oct1041154270
9327837730
10142923960
1173749983
123ba46760
13237c21ba
1414da5dc4
15c832c90
hex884d8b8

142923960 has 128 divisors (see below), whose sum is σ = 484704000. Its totient is φ = 37450368.

The previous prime is 142923953. The next prime is 142923973. The reversal of 142923960 is 69329241.

142923960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62599 + ... + 64841.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2142923960 is an apocalyptic number.

142923960 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 142923960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

142923960 is an abundant number, since it is smaller than the sum of its proper divisors (341780040).

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

142923960 is a wasteful number, since it uses less digits than its factorization.

142923960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 142923960 is about 11955.0809282079. The cubic root of 142923960 is about 522.8394473222.

The spelling of 142923960 in words is "one hundred forty-two million, nine hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2124 2243 2360 2655 3186 3540 4248 4486 5310 6372 6729 7080 7965 8972 10620 11215 12744 13458 15930 17944 20187 21240 22430 26916 31860 33645 40374 44860 53832 60561 63720 67290 80748 89720 100935 121122 132337 134580 161496 201870 242244 264674 269160 302805 397011 403740 484488 529348 605610 661685 794022 807480 1058696 1191033 1211220 1323370 1588044 1985055 2382066 2422440 2646740 3176088 3573099 3970110 4764132 5293480 5955165 7146198 7940220 9528264 11910330 14292396 15880440 17865495 23820660 28584792 35730990 47641320 71461980 142923960