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120780216 = 233231531021
BaseRepresentation
bin1110011001011…
…11010110111000
322102021021022100
413030233112320
5221404431331
615552423400
72664420624
oct714572670
9272237270
10120780216
11621a4a67
1234547b60
131c03b0ab
1412080184
15a90bae6
hex732f5b8

120780216 has 96 divisors (see below), whose sum is σ = 344373120. Its totient is φ = 38188800.

The previous prime is 120780203. The next prime is 120780217. The reversal of 120780216 is 612087021.

It is a self number, because there is not a number n which added to its sum of digits gives 120780216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120780217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117786 + ... + 118806.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2120780216 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 120780216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

120780216 is an abundant number, since it is smaller than the sum of its proper divisors (223592904).

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

120780216 is a wasteful number, since it uses less digits than its factorization.

120780216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120780216 is about 10990.0052775238. The cubic root of 120780216 is about 494.3090942611.

The spelling of 120780216 in words is "one hundred twenty million, seven hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 477 558 636 744 954 1021 1116 1272 1643 1908 2042 2232 3063 3286 3816 4084 4929 6126 6572 8168 9189 9858 12252 13144 14787 18378 19716 24504 29574 31651 36756 39432 54113 59148 63302 73512 94953 108226 118296 126604 162339 189906 216452 253208 284859 324678 379812 432904 487017 569718 649356 759624 974034 1139436 1298712 1677503 1948068 2278872 3355006 3896136 5032509 6710012 10065018 13420024 15097527 20130036 30195054 40260072 60390108 120780216