Search a number
-
+
145210120 = 23511401823
BaseRepresentation
bin10001010011110…
…11101100001000
3101010020102211121
420221323230020
5244133210440
622224205024
73412160056
oct1051735410
9333212747
10145210120
1174a70570
1240769774
1324112963
14153dd1d6
15cb3534a
hex8a7bb08

145210120 has 64 divisors (see below), whose sum is σ = 357747840. Its totient is φ = 52608000.

The previous prime is 145210111. The next prime is 145210147. The reversal of 145210120 is 21012541.

It is a junction number, because it is equal to n+sod(n) for n = 145210094 and 145210103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176029 + ... + 176851.

It is an arithmetic number, because the mean of its divisors is an integer number (5589810).

Almost surely, 2145210120 is an apocalyptic number.

145210120 is a gapful number since it is divisible by the number (10) 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 145210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178873920).

145210120 is an abundant number, since it is smaller than the sum of its proper divisors (212537720).

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

145210120 is a wasteful number, since it uses less digits than its factorization.

145210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 145210120 is about 12050.3161784245. The cubic root of 145210120 is about 525.6124311800.

Adding to 145210120 its reverse (21012541), we get a palindrome (166222661).

The spelling of 145210120 in words is "one hundred forty-five million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 401 440 802 823 1604 1646 2005 3208 3292 4010 4115 4411 6584 8020 8230 8822 9053 16040 16460 17644 18106 22055 32920 35288 36212 44110 45265 72424 88220 90530 176440 181060 330023 362120 660046 1320092 1650115 2640184 3300230 3630253 6600460 7260506 13200920 14521012 18151265 29042024 36302530 72605060 145210120