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540101502 = 232231737541
BaseRepresentation
bin100000001100010…
…100101101111110
31101122021222222100
4200030110231332
52101231222002
6125332125530
716245533643
oct4014245576
91348258870
10540101502
11257967286
12130a668a6
1387b85bb5
1451a33dca
153263a11c
hex20314b7e

540101502 has 48 divisors (see below), whose sum is σ = 1228320288. Its totient is φ = 171188160.

The previous prime is 540101483. The next prime is 540101537. The reversal of 540101502 is 205101045.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 67852 + ... + 75392.

It is an arithmetic number, because the mean of its divisors is an integer number (25590006).

Almost surely, 2540101502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540101502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614160144).

540101502 is an abundant number, since it is smaller than the sum of its proper divisors (688218786).

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

540101502 is a wasteful number, since it uses less digits than its factorization.

540101502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 540101502 is about 23240.0839499344. The cubic root of 540101502 is about 814.3763037851.

Adding to 540101502 its reverse (205101045), we get a palindrome (745202547).

It can be divided in two parts, 54010150 and 2, that added together give a cube (54010152 = 3783).

The spelling of 540101502 in words is "five hundred forty million, one hundred one thousand, five hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 346 414 519 1038 1557 3114 3979 7541 7958 11937 15082 22623 23874 35811 45246 67869 71622 135738 173443 346886 520329 1040658 1304593 1560987 2609186 3121974 3913779 7827558 11741337 23482674 30005639 60011278 90016917 180033834 270050751 540101502