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145666560 = 2935131459
BaseRepresentation
bin10001010111010…
…11001000000000
3101011002121221210
420223223020000
5244242312220
622242050120
73416100564
oct1053531000
9334077853
10145666560
1175252496
1240949940
1324242640
14154bb6a4
15cbc56e0
hex8aeb200

145666560 has 160 divisors (see below), whose sum is σ = 501842880. Its totient is φ = 35831808.

The previous prime is 145666541. The next prime is 145666601. The reversal of 145666560 is 65666541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99111 + ... + 100569.

It is an arithmetic number, because the mean of its divisors is an integer number (3136518).

Almost surely, 2145666560 is an apocalyptic number.

145666560 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 145666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250921440).

145666560 is an abundant number, since it is smaller than the sum of its proper divisors (356176320).

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

145666560 is a wasteful number, since it uses less digits than its factorization.

145666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 145666560 is about 12069.2402412082. The cubic root of 145666560 is about 526.1625755852.

The spelling of 145666560 in words is "one hundred forty-five million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1459 1536 1560 1664 1920 2080 2496 2560 2918 3120 3328 3840 4160 4377 4992 5836 6240 6656 7295 7680 8320 8754 9984 11672 12480 14590 16640 17508 18967 19968 21885 23344 24960 29180 33280 35016 37934 43770 46688 49920 56901 58360 70032 75868 87540 93376 94835 99840 113802 116720 140064 151736 175080 186752 189670 227604 233440 280128 284505 303472 350160 373504 379340 455208 466880 560256 569010 606944 700320 747008 758680 910416 933760 1120512 1138020 1213888 1400640 1517360 1820832 1867520 2241024 2276040 2427776 2801280 3034720 3641664 3735040 4552080 4855552 5602560 6069440 7283328 9104160 9711104 11205120 12138880 14566656 18208320 24277760 29133312 36416640 48555520 72833280 145666560