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144885740 = 225232910861
BaseRepresentation
bin10001010001011…
…00011111101100
3101002121221212112
420220230133230
5244042320430
622213223152
73406336256
oct1050543754
9332557775
10144885740
117486988a
1240631ab8
132402b10c
1415356cd6
15cabe195
hex8a2c7ec

144885740 has 48 divisors (see below), whose sum is σ = 328466880. Its totient is φ = 53518080.

The previous prime is 144885737. The next prime is 144885749. The reversal of 144885740 is 47588441.

144885740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144885749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7910 + ... + 18770.

It is an arithmetic number, because the mean of its divisors is an integer number (6843060).

Almost surely, 2144885740 is an apocalyptic number.

144885740 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 144885740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164233440).

144885740 is an abundant number, since it is smaller than the sum of its proper divisors (183581140).

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

144885740 is a wasteful number, since it uses less digits than its factorization.

144885740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 144885740 is about 12036.8492555153. The cubic root of 144885740 is about 525.2207567455.

The spelling of 144885740 in words is "one hundred forty-four million, eight hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 10861 13340 21722 43444 54305 108610 217220 249803 314969 499606 629938 999212 1249015 1259876 1574845 2498030 3149690 4996060 6299380 7244287 14488574 28977148 36221435 72442870 144885740