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540158680 = 235172334537
BaseRepresentation
bin100000001100100…
…010101011011000
31101122101220102001
4200030202223120
52101240034210
6125333250344
716246162435
oct4014425330
91348356361
10540158680
112579a6236
12130a939b4
1387ba5c29
1451a4ab8c
153264c03a
hex20322ad8

540158680 has 64 divisors (see below), whose sum is σ = 1342837440. Its totient is φ = 194506752.

The previous prime is 540158659. The next prime is 540158681. The reversal of 540158680 is 86851045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540158681) 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, 1629 + ... + 32908.

It is an arithmetic number, because the mean of its divisors is an integer number (20981835).

Almost surely, 2540158680 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 540158680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671418720).

540158680 is an abundant number, since it is smaller than the sum of its proper divisors (802678760).

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

540158680 is a wasteful number, since it uses less digits than its factorization.

540158680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34588 (or 34584 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 540158680 is about 23241.3140764458. The cubic root of 540158680 is about 814.4050408312.

The spelling of 540158680 in words is "five hundred forty million, one hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 34537 69074 138148 172685 276296 345370 587129 690740 794351 1174258 1381480 1588702 2348516 2935645 3177404 3971755 4697032 5871290 6354808 7943510 11742580 13503967 15887020 23485160 27007934 31774040 54015868 67519835 108031736 135039670 270079340 540158680