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145102320 = 243351131197
BaseRepresentation
bin10001010011000…
…01010111110000
3101010000221222000
420221201113300
5244121233240
622222014000
73411230556
oct1051412760
9333027860
10145102320
11749a7580
1240717300
13240a587c
14153b1bd6
15cb13430
hex8a615f0

145102320 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 33868800.

The previous prime is 145102313. The next prime is 145102333. The reversal of 145102320 is 23201541.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 145102293 and 145102302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736462 + ... + 736658.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2145102320 is an apocalyptic number.

145102320 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 145102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

145102320 is an abundant number, since it is smaller than the sum of its proper divisors (420575760).

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

145102320 is a wasteful number, since it uses less digits than its factorization.

145102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145102320 is about 12045.8424362931. The cubic root of 145102320 is about 525.4823322423.

Adding to 145102320 its reverse (23201541), we get a palindrome (168303861).

The spelling of 145102320 in words is "one hundred forty-five million, one hundred two thousand, three hundred twenty".