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145706760 = 233252271783
BaseRepresentation
bin10001010111101…
…00111100001000
3101011011200002200
420223310330020
5244300104020
622243000200
73416326023
oct1053647410
9334150080
10145706760
117527a711
1240969060
1324257a24
14154cc1ba
15cbd2590
hex8af4f08

145706760 has 96 divisors (see below), whose sum is σ = 475899840. Its totient is φ = 38662272.

The previous prime is 145706723. The next prime is 145706791. The reversal of 145706760 is 67607541.

145706760 is a `hidden beast` number, since 14 + 570 + 6 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80829 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (4957290).

Almost surely, 2145706760 is an apocalyptic number.

145706760 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 145706760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237949920).

145706760 is an abundant number, since it is smaller than the sum of its proper divisors (330193080).

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

145706760 is a wasteful number, since it uses less digits than its factorization.

145706760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 145706760 is about 12070.9055169859. The cubic root of 145706760 is about 526.2109733096.

The spelling of 145706760 in words is "one hundred forty-five million, seven hundred six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 227 360 454 681 908 1135 1362 1783 1816 2043 2270 2724 3405 3566 4086 4540 5349 5448 6810 7132 8172 8915 9080 10215 10698 13620 14264 16047 16344 17830 20430 21396 26745 27240 32094 35660 40860 42792 53490 64188 71320 80235 81720 106980 128376 160470 213960 320940 404741 641880 809482 1214223 1618964 2023705 2428446 3237928 3642669 4047410 4856892 6071115 7285338 8094820 9713784 12142230 14570676 16189640 18213345 24284460 29141352 36426690 48568920 72853380 145706760