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540295704 = 233313219241
BaseRepresentation
bin100000001101000…
…100001000011000
31101122122212101000
4200031010020120
52101303430304
6125340225000
716250303064
oct4015041030
91348585330
10540295704
11257a8a183
12130b3b160
1387c23400
1451a84aa4
1532677939
hex20344218

540295704 has 288 divisors, whose sum is σ = 1757019600. Its totient is φ = 153653760.

The previous prime is 540295633. The next prime is 540295733. The reversal of 540295704 is 407592045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13177924 + ... + 13177964.

Almost surely, 2540295704 is an apocalyptic number.

540295704 is a gapful number since it is divisible by the number (54) 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 540295704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878509800).

540295704 is an abundant number, since it is smaller than the sum of its proper divisors (1216723896).

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

540295704 is a wasteful number, since it uses less digits than its factorization.

540295704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 540295704 is about 23244.2617434927. The cubic root of 540295704 is about 814.4738993634.

The spelling of 540295704 in words is "five hundred forty million, two hundred ninety-five thousand, seven hundred four".