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145591740 = 223257217971
BaseRepresentation
bin10001010110110…
…00110110111100
3101010221211022200
420223120312330
5244232413430
622240311500
73415336500
oct1053306674
9333854280
10145591740
1175201258
1240912590
1324217578
141549c300
15cbad460
hex8ad8dbc

145591740 has 216 divisors, whose sum is σ = 544510512. Its totient is φ = 31288320.

The previous prime is 145591729. The next prime is 145591741. The reversal of 145591740 is 47195541.

145591740 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 145591695 and 145591704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145591741) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149455 + ... + 150425.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882).

Almost surely, 2145591740 is an apocalyptic number.

145591740 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 145591740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272255256).

145591740 is an abundant number, since it is smaller than the sum of its proper divisors (398918772).

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

145591740 is a wasteful number, since it uses less digits than its factorization.

145591740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 145591740 is about 12066.1402279271. The cubic root of 145591740 is about 526.0724743155.

The spelling of 145591740 in words is "one hundred forty-five million, five hundred ninety-one thousand, seven hundred forty".