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144681960 = 233519233189
BaseRepresentation
bin10001001111110…
…10101111101000
3101002020121100010
420213322233220
5244014310320
622205011520
73404530203
oct1047725750
9332217303
10144681960
117473a775
1240553ba0
1323c89437
141530293a
15ca7dae0
hex89fabe8

144681960 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 33454080.

The previous prime is 144681949. The next prime is 144681961. The reversal of 144681960 is 69186441.

It is not an unprimeable number, because it can be changed into a prime (144681961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1625596 + ... + 1625684.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2144681960 is an apocalyptic number.

144681960 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 144681960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

144681960 is an abundant number, since it is smaller than the sum of its proper divisors (352982040).

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

144681960 is a wasteful number, since it uses less digits than its factorization.

144681960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 144681960 is about 12028.3814372508. The cubic root of 144681960 is about 524.9744023801.

The spelling of 144681960 in words is "one hundred forty-four million, six hundred eighty-one thousand, nine hundred sixty".