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145056340 = 225111367757
BaseRepresentation
bin10001010010101…
…10001001010100
3101002221121220001
420221112021110
5244113300330
622221021044
73410646532
oct1051261124
9332847801
10145056340
1174975a80
12406b4784
132408a970
141539d152
15cb049ca
hex8a56254

145056340 has 96 divisors (see below), whose sum is σ = 363694464. Its totient is φ = 47900160.

The previous prime is 145056323. The next prime is 145056341. The reversal of 145056340 is 43650541.

145056340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145056299 and 145056308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145056341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191242 + ... + 191998.

It is an arithmetic number, because the mean of its divisors is an integer number (3788484).

Almost surely, 2145056340 is an apocalyptic number.

145056340 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 145056340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181847232).

145056340 is an abundant number, since it is smaller than the sum of its proper divisors (218638124).

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

145056340 is a wasteful number, since it uses less digits than its factorization.

145056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 145056340 is about 12043.9337427603. The cubic root of 145056340 is about 525.4268214593.

The spelling of 145056340 in words is "one hundred forty-five million, fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 67 110 130 134 143 220 260 268 286 335 572 670 715 737 757 871 1340 1430 1474 1514 1742 2860 2948 3028 3484 3685 3785 4355 7370 7570 8327 8710 9581 9841 14740 15140 16654 17420 19162 19682 33308 38324 39364 41635 47905 49205 50719 83270 95810 98410 101438 108251 166540 191620 196820 202876 216502 253595 433004 507190 541255 557909 659347 1014380 1082510 1115818 1318694 2165020 2231636 2637388 2789545 3296735 5579090 6593470 7252817 11158180 13186940 14505634 29011268 36264085 72528170 145056340