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146001060 = 223256113297
BaseRepresentation
bin10001011001111…
…00110010100100
3101011201121210200
420230330302210
5244334013220
622253150500
73421663032
oct1054746244
9334647720
10146001060
1175460837
1240a8b430
132432b97a
1415567552
15cc3e890
hex8b3cca4

146001060 has 72 divisors (see below), whose sum is σ = 450163896. Its totient is φ = 38292480.

The previous prime is 146001059. The next prime is 146001113. The reversal of 146001060 is 60100641.

146001060 is a `hidden beast` number, since 1 + 4 + 600 + 1 + 0 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 129549924 = 4056^2 + 11382^2 .

It is a super-2 number, since 2×1460010602 = 42632619042247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4332 + ... + 17628.

Almost surely, 2146001060 is an apocalyptic number.

146001060 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 146001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225081948).

146001060 is an abundant number, since it is smaller than the sum of its proper divisors (304162836).

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

146001060 is a wasteful number, since it uses less digits than its factorization.

146001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146001060 is about 12083.0898366271. The cubic root of 146001060 is about 526.5650171464.

The spelling of 146001060 in words is "one hundred forty-six million, one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 13297 26594 39891 53188 66485 79782 119673 132970 159564 199455 239346 265940 398910 478692 598365 797820 811117 1196730 1622234 2393460 2433351 3244468 4055585 4866702 7300053 8111170 9733404 12166755 14600106 16222340 24333510 29200212 36500265 48667020 73000530 146001060