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142336180 = 22572612381
BaseRepresentation
bin10000111101111…
…10000010110100
3100220211102112101
420132332002310
5242414224210
622042431444
73345560200
oct1036760264
9326742471
10142336180
1173388308
123b802584
13236477bc
1414c91b00
15c768a3a
hex87be0b4

142336180 has 72 divisors (see below), whose sum is σ = 353555496. Its totient is φ = 47980800.

The previous prime is 142336171. The next prime is 142336219. The reversal of 142336180 is 81633241.

142336180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 124813584 = 4186^2 + 11172^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58590 + ... + 60970.

It is an arithmetic number, because the mean of its divisors is an integer number (4910493).

Almost surely, 2142336180 is an apocalyptic number.

142336180 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 142336180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176777748).

142336180 is an abundant number, since it is smaller than the sum of its proper divisors (211219316).

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

142336180 is a wasteful number, since it uses less digits than its factorization.

142336180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 142336180 is about 11930.4727483868. The cubic root of 142336180 is about 522.1217304413.

The spelling of 142336180 in words is "one hundred forty-two million, three hundred thirty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2381 2989 4270 4762 5978 8540 9524 11905 11956 14945 16667 23810 29890 33334 47620 59780 66668 83335 116669 145241 166670 233338 290482 333340 466676 580964 583345 726205 1016687 1166690 1452410 2033374 2333380 2904820 4066748 5083435 7116809 10166870 14233618 20333740 28467236 35584045 71168090 142336180