Search a number
-
+
120020010 = 23511367991
BaseRepresentation
bin1110010011101…
…01110000101010
322100211122111120
413021311300222
5221211120020
615524240110
72655103365
oct711656052
9270748446
10120020010
11618258a0
1234240036
131bb33076
1411d230dc
15a80b740
hex7275c2a

120020010 has 64 divisors (see below), whose sum is σ = 315408384. Its totient is φ = 28987200.

The previous prime is 120019987. The next prime is 120020011. The reversal of 120020010 is 10020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (120020011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120615 + ... + 121605.

It is an arithmetic number, because the mean of its divisors is an integer number (4928256).

Almost surely, 2120020010 is an apocalyptic number.

120020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157704192).

120020010 is an abundant number, since it is smaller than the sum of its proper divisors (195388374).

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

120020010 is a wasteful number, since it uses less digits than its factorization.

120020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120020010 is about 10955.3644393968. The cubic root of 120020010 is about 493.2698293999.

Adding to 120020010 its reverse (10020021), we get a palindrome (130040031).

The spelling of 120020010 in words is "one hundred twenty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 367 734 991 1101 1835 1982 2202 2973 3670 4037 4955 5505 5946 8074 9910 10901 11010 12111 14865 20185 21802 24222 29730 32703 40370 54505 60555 65406 109010 121110 163515 327030 363697 727394 1091091 1818485 2182182 3636970 4000667 5455455 8001334 10910910 12002001 20003335 24004002 40006670 60010005 120020010