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215151320 = 235171072957
BaseRepresentation
bin11001101001011…
…11001011011000
3112222211211010102
430310233023120
5420034320240
633203234532
75221520216
oct1464571330
9488754112
10215151320
111004a140a
1260078a48
1335760797
1420807cb6
1513d4d815
hexcd2f2d8

215151320 has 64 divisors (see below), whose sum is σ = 517531680. Its totient is φ = 80214016.

The previous prime is 215151301. The next prime is 215151329. The reversal of 215151320 is 23151512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 215151292 and 215151301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215151329) 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, 71282 + ... + 74238.

Almost surely, 2215151320 is an apocalyptic number.

215151320 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 215151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258765840).

215151320 is an abundant number, since it is smaller than the sum of its proper divisors (302380360).

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

215151320 is a wasteful number, since it uses less digits than its factorization.

215151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 215151320 is about 14668.0373601924. The cubic root of 215151320 is about 599.2131537579.

The spelling of 215151320 in words is "two hundred fifteen million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 2957 3638 4280 5914 7276 9095 11828 14552 14785 18190 23656 29570 36380 50269 59140 72760 100538 118280 201076 251345 316399 402152 502690 632798 1005380 1265596 1581995 2010760 2531192 3163990 5378783 6327980 10757566 12655960 21515132 26893915 43030264 53787830 107575660 215151320