Search a number
-
+
120016920 = 23351952639
BaseRepresentation
bin1110010011101…
…01000000011000
322100211111021010
413021311000120
5221211020140
615524213520
72655061362
oct711650030
9270744233
10120016920
1161823541
123423a2a0
131bb3183a
1411d21d32
15a80a880
hex7275018

120016920 has 64 divisors (see below), whose sum is σ = 379008000. Its totient is φ = 30319488.

The previous prime is 120016861. The next prime is 120016927. The reversal of 120016920 is 29610021.

It is a super-2 number, since 2×1200169202 = 28808122172572800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120016927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24040 + ... + 28599.

It is an arithmetic number, because the mean of its divisors is an integer number (5922000).

Almost surely, 2120016920 is an apocalyptic number.

120016920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120016920 is an abundant number, since it is smaller than the sum of its proper divisors (258991080).

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

120016920 is a wasteful number, since it uses less digits than its factorization.

120016920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52672 (or 52668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 120016920 is about 10955.2234116881. The cubic root of 120016920 is about 493.2655961701.

Adding to 120016920 its reverse (29610021), we get a palindrome (149626941).

The spelling of 120016920 in words is "one hundred twenty million, sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 52639 105278 157917 210556 263195 315834 421112 526390 631668 789585 1000141 1052780 1263336 1579170 2000282 2105560 3000423 3158340 4000564 5000705 6000846 6316680 8001128 10001410 12001692 15002115 20002820 24003384 30004230 40005640 60008460 120016920