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215103020 = 225114771293
BaseRepresentation
bin11001101001000…
…11011000101100
3112222202100212112
430310203120230
5420031244040
633202223152
75221226336
oct1464433054
9488670775
10215103020
111004690a0
1260054ab8
13357447c2
14207d4456
1513d3e365
hexcd2362c

215103020 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 75219200.

The previous prime is 215103013. The next prime is 215103043. The reversal of 215103020 is 20301512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 215102986 and 215103004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733994 + ... + 734286.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2215103020 is an apocalyptic number.

215103020 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 215103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

215103020 is an abundant number, since it is smaller than the sum of its proper divisors (296993236).

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

215103020 is a wasteful number, since it uses less digits than its factorization.

215103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 215103020 is about 14666.3908307395. The cubic root of 215103020 is about 599.1683106503.

Adding to 215103020 its reverse (20301512), we get a palindrome (235404532).

The spelling of 215103020 in words is "two hundred fifteen million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 71 94 110 142 188 220 235 284 293 355 470 517 586 710 781 940 1034 1172 1420 1465 1562 2068 2585 2930 3124 3223 3337 3905 5170 5860 6446 6674 7810 10340 12892 13348 13771 15620 16115 16685 20803 27542 32230 33370 36707 41606 55084 64460 66740 68855 73414 83212 104015 137710 146828 151481 183535 208030 228833 275420 302962 367070 416060 457666 605924 734140 757405 915332 977741 1144165 1514810 1955482 2288330 3029620 3910964 4576660 4888705 9777410 10755151 19554820 21510302 43020604 53775755 107551510 215103020