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146402130 = 235717231783
BaseRepresentation
bin10001011100111…
…10101101010010
3101012110222222010
420232132231102
5244434332010
622305523350
73425253240
oct1056365522
9335428863
10146402130
11757050a6
1241043556
132443c3a4
141562d790
15ccbd620
hex8b9eb52

146402130 has 128 divisors (see below), whose sum is σ = 443916288. Its totient is φ = 30108672.

The previous prime is 146402117. The next prime is 146402203. The reversal of 146402130 is 31204641.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146402097 and 146402106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81219 + ... + 83001.

It is an arithmetic number, because the mean of its divisors is an integer number (3468096).

Almost surely, 2146402130 is an apocalyptic number.

146402130 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 146402130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221958144).

146402130 is an abundant number, since it is smaller than the sum of its proper divisors (297514158).

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

146402130 is a wasteful number, since it uses less digits than its factorization.

146402130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 146402130 is about 12099.6747890181. The cubic root of 146402130 is about 527.0467404627.

Adding to 146402130 its reverse (31204641), we get a palindrome (177606771).

The spelling of 146402130 in words is "one hundred forty-six million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1783 1785 1955 2346 2415 2737 3566 3570 3910 4830 5349 5474 5865 8211 8915 10698 11730 12481 13685 16422 17830 24962 26745 27370 30311 37443 41009 41055 53490 60622 62405 74886 82018 82110 90933 123027 124810 151555 181866 187215 205045 212177 246054 287063 303110 374430 410090 424354 454665 574126 615135 636531 697153 861189 909330 1060885 1230270 1273062 1394306 1435315 1722378 2091459 2121770 2870630 3182655 3485765 4182918 4305945 4880071 6365310 6971530 8611890 9760142 10457295 14640213 20914590 24400355 29280426 48800710 73201065 146402130