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145059660 = 22345151593
BaseRepresentation
bin10001010010101…
…10111101001100
3101002221210110000
420221112331030
5244113402120
622221044300
73410662314
oct1051267514
9332853400
10145059660
1174978519
12406b6690
132408c325
14153a0444
15cb05990
hex8a56f4c

145059660 has 120 divisors (see below), whose sum is σ = 458843616. Its totient is φ = 38361600.

The previous prime is 145059641. The next prime is 145059697. The reversal of 145059660 is 66950541.

145059660 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 596 + 60 = 666.

145059660 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244324 + ... + 244916.

Almost surely, 2145059660 is an apocalyptic number.

145059660 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 145059660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229421808).

145059660 is an abundant number, since it is smaller than the sum of its proper divisors (313783956).

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

145059660 is a wasteful number, since it uses less digits than its factorization.

145059660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 145059660 is about 12044.0715706940. The cubic root of 145059660 is about 525.4308300253.

The spelling of 145059660 in words is "one hundred forty-five million, fifty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 151 162 180 270 302 324 405 453 540 593 604 755 810 906 1186 1359 1510 1620 1779 1812 2265 2372 2718 2965 3020 3558 4077 4530 5337 5436 5930 6795 7116 8154 8895 9060 10674 11860 12231 13590 16011 16308 17790 20385 21348 24462 26685 27180 32022 35580 40770 48033 48924 53370 61155 64044 80055 81540 89543 96066 106740 122310 160110 179086 192132 240165 244620 268629 320220 358172 447715 480330 537258 805887 895430 960660 1074516 1343145 1611774 1790860 2417661 2686290 3223548 4029435 4835322 5372580 7252983 8058870 9670644 12088305 14505966 16117740 24176610 29011932 36264915 48353220 72529830 145059660