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216120528 = 243313291327
BaseRepresentation
bin11001110000110…
…11110011010000
3120001200001122000
430320123303100
5420311324103
633240114000
75232665001
oct1470336320
9501601560
10216120528
11100aa3608
1260465900
1335a0c990
14209bb1a8
1513e90aa3
hexce1bcd0

216120528 has 160 divisors (see below), whose sum is σ = 691622400. Its totient is φ = 64157184.

The previous prime is 216120503. The next prime is 216120533. The reversal of 216120528 is 825021612.

It is a happy number.

216120528 is a `hidden beast` number, since 2 + 16 + 120 + 528 = 666.

216120528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162201 + ... + 163527.

It is an arithmetic number, because the mean of its divisors is an integer number (4322640).

Almost surely, 2216120528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216120528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345811200).

216120528 is an abundant number, since it is smaller than the sum of its proper divisors (475501872).

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

216120528 is a wasteful number, since it uses less digits than its factorization.

216120528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 216120528 is about 14701.0383306758. The cubic root of 216120528 is about 600.1115792488. Note that the first 3 decimals are identical.

The spelling of 216120528 in words is "two hundred sixteen million, one hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1327 1392 1404 1508 1566 1872 2088 2262 2654 2808 3016 3132 3393 3981 4176 4524 5308 5616 6032 6264 6786 7962 9048 10179 10616 11943 12528 13572 15924 17251 18096 20358 21232 23886 27144 31848 34502 35829 38483 40716 47772 51753 54288 63696 69004 71658 76966 81432 95544 103506 115449 138008 143316 153932 155259 162864 191088 207012 230898 276016 286632 307864 310518 346347 414024 461796 465777 500279 573264 615728 621036 692694 828048 923592 931554 1000558 1039041 1242072 1385388 1500837 1847184 1863108 2001116 2078082 2484144 2770776 3001674 3726216 4002232 4156164 4502511 5541552 6003348 7452432 8004464 8312328 9005022 12006696 13507533 16624656 18010044 24013392 27015066 36020088 54030132 72040176 108060264 216120528