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215781540 = 223513674129
BaseRepresentation
bin11001101110010…
…01000010100100
3120001000211121220
430313021002210
5420220002130
633224540340
75230053462
oct1467110244
9501024556
10215781540
11100891957
12603216b0
13359215b0
142092d832
1513e25410
hexcdc90a4

215781540 has 96 divisors (see below), whose sum is σ = 660535680. Its totient is φ = 52310016.

The previous prime is 215781529. The next prime is 215781541. The reversal of 215781540 is 45187512.

It is not an unprimeable number, because it can be changed into a prime (215781541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50196 + ... + 54324.

It is an arithmetic number, because the mean of its divisors is an integer number (6880580).

Almost surely, 2215781540 is an apocalyptic number.

215781540 is a gapful number since it is divisible by the number (20) 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 215781540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330267840).

215781540 is an abundant number, since it is smaller than the sum of its proper divisors (444754140).

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

215781540 is a wasteful number, since it uses less digits than its factorization.

215781540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 215781540 is about 14689.5044164192. The cubic root of 215781540 is about 599.7976539900.

The spelling of 215781540 in words is "two hundred fifteen million, seven hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4129 4355 5226 8258 8710 10452 12387 13065 16516 17420 20645 24774 26130 41290 49548 52260 53677 61935 82580 107354 123870 161031 214708 247740 268385 276643 322062 536770 553286 644124 805155 829929 1073540 1106572 1383215 1610310 1659858 2766430 3220620 3319716 3596359 4149645 5532860 7192718 8299290 10789077 14385436 16598580 17981795 21578154 35963590 43156308 53945385 71927180 107890770 215781540