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142716640 = 25511131619
BaseRepresentation
bin10001000000110…
…10111011100000
3100221112202102111
420200122323200
5243013413030
622054525104
73352033333
oct1040327340
9327482374
10142716640
1173618140
123b966794
132374ba21
1414d5061a
15c7e162a
hex881aee0

142716640 has 96 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 51417600.

The previous prime is 142716583. The next prime is 142716647. The reversal of 142716640 is 46617241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142716647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 230251 + ... + 230869.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2142716640 is an apocalyptic number.

142716640 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 142716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

142716640 is an abundant number, since it is smaller than the sum of its proper divisors (228509600).

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

142716640 is a wasteful number, since it uses less digits than its factorization.

142716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 142716640 is about 11946.4069912254. The cubic root of 142716640 is about 522.5865213893.

The spelling of 142716640 in words is "one hundred forty-two million, seven hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 619 655 880 1048 1238 1310 1441 1760 2096 2476 2620 2882 3095 4192 4952 5240 5764 6190 6809 7205 9904 10480 11528 12380 13618 14410 19808 20960 23056 24760 27236 28820 34045 46112 49520 54472 57640 68090 81089 99040 108944 115280 136180 162178 217888 230560 272360 324356 405445 544720 648712 810890 891979 1089440 1297424 1621780 1783958 2594848 3243560 3567916 4459895 6487120 7135832 8919790 12974240 14271664 17839580 28543328 35679160 71358320 142716640