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146000910 = 235114310289
BaseRepresentation
bin10001011001111…
…00110000001110
3101011201121121010
420230330300032
5244334012120
622253150050
73421662426
oct1054746016
9334647533
10146000910
1175460710
1240a8b326
132432b893
1415567486
15cc3e7e0
hex8b3cc0e

146000910 has 64 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 34567680.

The previous prime is 146000909. The next prime is 146000957. The reversal of 146000910 is 19000641.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9046 + ... + 19334.

It is an arithmetic number, because the mean of its divisors is an integer number (6112260).

Almost surely, 2146000910 is an apocalyptic number.

146000910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146000910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

146000910 is an abundant number, since it is smaller than the sum of its proper divisors (245183730).

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

146000910 is a wasteful number, since it uses less digits than its factorization.

146000910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 146000910 is about 12083.0836296038. The cubic root of 146000910 is about 526.5648368172.

The spelling of 146000910 in words is "one hundred forty-six million, nine hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 10289 14190 20578 30867 51445 61734 102890 113179 154335 226358 308670 339537 442427 565895 679074 884854 1131790 1327281 1697685 2212135 2654562 3395370 4424270 4866697 6636405 9733394 13272810 14600091 24333485 29200182 48666970 73000455 146000910