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216380540 = 225137157503
BaseRepresentation
bin11001110010110…
…11010001111100
3120002011021022002
430321123101330
5420343134130
633245441432
75235130025
oct1471332174
9502137262
10216380540
111011609a2
1260570278
1335aa112c
1420a47c4c
1513ee2b45
hexce5b47c

216380540 has 48 divisors (see below), whose sum is σ = 461547072. Its totient is φ = 85203456.

The previous prime is 216380537. The next prime is 216380543. The reversal of 216380540 is 45083612.

It is an interprime number because it is at equal distance from previous prime (216380537) and next prime (216380543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216380543) 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, 429929 + ... + 430431.

It is an arithmetic number, because the mean of its divisors is an integer number (9615564).

Almost surely, 2216380540 is an apocalyptic number.

216380540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216380540 is an abundant number, since it is smaller than the sum of its proper divisors (245166532).

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

216380540 is a wasteful number, since it uses less digits than its factorization.

216380540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 216380540 is about 14709.8789933840. The cubic root of 216380540 is about 600.3521451344.

The spelling of 216380540 in words is "two hundred sixteen million, three hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 137 157 274 314 503 548 628 685 785 1006 1370 1570 2012 2515 2740 3140 5030 10060 21509 43018 68911 78971 86036 107545 137822 157942 215090 275644 315884 344555 394855 430180 689110 789710 1378220 1579420 10819027 21638054 43276108 54095135 108190270 216380540