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146745960 = 23351279629
BaseRepresentation
bin10001011111100…
…10101001101000
3101020010110121120
420233302221220
5300031332320
622321135240
73431214534
oct1057625150
9336113546
10146745960
117591a459
124118a520
132452ca3a
14156bcbc4
15cd3a440
hex8bf2a68

146745960 has 64 divisors (see below), whose sum is σ = 443750400. Its totient is φ = 38820096.

The previous prime is 146745947. The next prime is 146745979. The reversal of 146745960 is 69547641.

146745960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10426 + ... + 20054.

It is an arithmetic number, because the mean of its divisors is an integer number (6933600).

Almost surely, 2146745960 is an apocalyptic number.

146745960 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 146745960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221875200).

146745960 is an abundant number, since it is smaller than the sum of its proper divisors (297004440).

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

146745960 is a wasteful number, since it uses less digits than its factorization.

146745960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 146745960 is about 12113.8746897927. The cubic root of 146745960 is about 527.4590131597.

The spelling of 146745960 in words is "one hundred forty-six million, seven hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 9629 15240 19258 28887 38516 48145 57774 77032 96290 115548 144435 192580 231096 288870 385160 577740 1155480 1222883 2445766 3668649 4891532 6114415 7337298 9783064 12228830 14674596 18343245 24457660 29349192 36686490 48915320 73372980 146745960