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360000140 = 225234871607
BaseRepresentation
bin10101011101010…
…010101010001100
3221002101220100112
4111131102222030
51214130001030
655420015152
711630644043
oct2535225214
9832356315
10360000140
11175235485
12a06914b8
1359777b46
1435b5155a
1521911a95
hex15752a8c

360000140 has 48 divisors (see below), whose sum is σ = 790981632. Its totient is φ = 137370816.

The previous prime is 360000139. The next prime is 360000149. The reversal of 360000140 is 41000063.

360000140 is digitally balanced in base 3, because in such base 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 (360000149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223217 + ... + 224823.

It is an arithmetic number, because the mean of its divisors is an integer number (16478784).

Almost surely, 2360000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395490816).

360000140 is an abundant number, since it is smaller than the sum of its proper divisors (430981492).

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

360000140 is a wasteful number, since it uses less digits than its factorization.

360000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 360000140 is about 18973.6696503339. The cubic root of 360000140 is about 711.3787531138.

The spelling of 360000140 in words is "three hundred sixty million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 487 974 1607 1948 2435 3214 4870 6428 8035 9740 11201 16070 22402 32140 36961 44804 56005 73922 112010 147844 184805 224020 369610 739220 782609 1565218 3130436 3913045 7826090 15652180 18000007 36000014 72000028 90000035 180000070 360000140