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10720116 = 223211223107
BaseRepresentation
bin101000111001…
…001101110100
3202011122020100
4220321031310
510221020431
61021434100
7160055661
oct50711564
922148210
1010720116
116062200
12370b930
1322b4584
1415d0a68
15e1b4e6
hexa39374

10720116 has 108 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 3078240.

The previous prime is 10720091. The next prime is 10720153. The reversal of 10720116 is 61102701.

10720116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107201162 = 229841774106912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100135 + ... + 100241.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 210720116 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 10720116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

10720116 is an abundant number, since it is smaller than the sum of its proper divisors (20650860).

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

10720116 is a wasteful number, since it uses less digits than its factorization.

10720116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10720116 is about 3274.1588232705. The cubic root of 10720116 is about 220.4955496040.

Adding to 10720116 its reverse (61102701), we get a palindrome (71822817).

The spelling of 10720116 in words is "ten million, seven hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 107 121 132 138 198 207 214 242 253 276 321 363 396 414 428 484 506 642 726 759 828 963 1012 1089 1177 1284 1452 1518 1926 2178 2277 2354 2461 2783 3036 3531 3852 4356 4554 4708 4922 5566 7062 7383 8349 9108 9844 10593 11132 12947 14124 14766 16698 21186 22149 25047 25894 27071 29532 33396 38841 42372 44298 50094 51788 54142 77682 81213 88596 100188 108284 116523 155364 162426 233046 243639 297781 324852 466092 487278 595562 893343 974556 1191124 1786686 2680029 3573372 5360058 10720116