Search a number
-
+
145210520 = 235721341139
BaseRepresentation
bin10001010011110…
…11110010011000
3101010020110101102
420221323302120
5244133214040
622224210532
73412161200
oct1051736230
9333213342
10145210520
1174a708a4
1240769a48
1324112bb0
14153dd400
15cb35515
hex8a7bc98

145210520 has 192 divisors, whose sum is σ = 422301600. Its totient is φ = 44513280.

The previous prime is 145210501. The next prime is 145210553. The reversal of 145210520 is 25012541.

145210520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145210492 and 145210501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044611 + ... + 1044749.

Almost surely, 2145210520 is an apocalyptic number.

145210520 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 145210520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211150800).

145210520 is an abundant number, since it is smaller than the sum of its proper divisors (277091080).

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

145210520 is a wasteful number, since it uses less digits than its factorization.

145210520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 145210520 is about 12050.3327754880. The cubic root of 145210520 is about 525.6129138020.

The spelling of 145210520 in words is "one hundred forty-five million, two hundred ten thousand, five hundred twenty".