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120016806 = 237131923503
BaseRepresentation
bin1110010011101…
…00111110100110
322100211111002220
413021310332212
5221211014211
615524213210
72655061140
oct711647646
9270744086
10120016806
1161823448
123423a206
131bb31780
1411d21c90
15a80a806
hex7274fa6

120016806 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 28626048.

The previous prime is 120016769. The next prime is 120016807. The reversal of 120016806 is 608610021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120016807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238351 + ... + 238853.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2120016806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120016806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

120016806 is an abundant number, since it is smaller than the sum of its proper divisors (205123674).

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

120016806 is a wasteful number, since it uses less digits than its factorization.

120016806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120016806 is about 10955.2182086894. The cubic root of 120016806 is about 493.2654399913.

Adding to 120016806 its reverse (608610021), we get a palindrome (728626827).

The spelling of 120016806 in words is "one hundred twenty million, sixteen thousand, eight hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 23 26 38 39 42 46 57 69 78 91 114 133 138 161 182 247 266 273 299 322 399 437 483 494 503 546 598 741 798 874 897 966 1006 1311 1482 1509 1729 1794 2093 2622 3018 3059 3458 3521 4186 5187 5681 6118 6279 6539 7042 9177 9557 10374 10563 11362 11569 12558 13078 17043 18354 19114 19617 21126 23138 28671 34086 34707 39234 39767 45773 57342 66899 69414 79534 80983 91546 119301 124241 133798 137319 150397 161966 200697 219811 238602 242949 248482 274638 300794 372723 401394 439622 451191 485898 659433 745446 869687 902382 1052779 1318866 1538677 1739374 2105558 2609061 2857543 3077354 3158337 4616031 5218122 5715086 6316674 8572629 9232062 17145258 20002801 40005602 60008403 120016806