Search a number
-
+
107570016 = 253217127173
BaseRepresentation
bin1100110100101…
…10001101100000
321111102010022200
412122112031200
5210014220031
614401333200
72444221131
oct632261540
9244363280
10107570016
11557a1a44
1230037200
13193942c8
1410401c88
15969c8e6
hex6696360

107570016 has 144 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 33288192.

The previous prime is 107570003. The next prime is 107570017. The reversal of 107570016 is 610075701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107570017) 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, 621706 + ... + 621878.

It is an arithmetic number, because the mean of its divisors is an integer number (2280096).

Almost surely, 2107570016 is an apocalyptic number.

107570016 is a gapful number since it is divisible by the number (16) 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 107570016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912).

107570016 is an abundant number, since it is smaller than the sum of its proper divisors (220763808).

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

107570016 is a wasteful number, since it uses less digits than its factorization.

107570016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107570016 is about 10371.5965984028. The cubic root of 107570016 is about 475.5874777276.

The spelling of 107570016 in words is "one hundred seven million, five hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 127 136 144 153 173 204 254 272 288 306 346 381 408 508 519 544 612 692 762 816 1016 1038 1143 1224 1384 1524 1557 1632 2032 2076 2159 2286 2448 2768 2941 3048 3114 4064 4152 4318 4572 4896 5536 5882 6096 6228 6477 8304 8636 8823 9144 11764 12192 12456 12954 16608 17272 17646 18288 19431 21971 23528 24912 25908 26469 34544 35292 36576 38862 43942 47056 49824 51816 52938 65913 69088 70584 77724 87884 94112 103632 105876 131826 141168 155448 175768 197739 207264 211752 263652 282336 310896 351536 373507 395478 423504 527304 621792 703072 747014 790956 847008 1054608 1120521 1494028 1581912 2109216 2241042 2988056 3163824 3361563 4482084 5976112 6327648 6723126 8964168 11952224 13446252 17928336 26892504 35856672 53785008 107570016