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146000640 = 2835193197
BaseRepresentation
bin10001011001111…
…00101100000000
3101011201121020010
420230330230000
5244334010030
622253144520
73421661562
oct1054745400
9334647203
10146000640
1175460495
1240a8b140
132432b716
1415567332
15cc3e6b0
hex8b3cb00

146000640 has 144 divisors (see below), whose sum is σ = 471084768. Its totient is φ = 38535168.

The previous prime is 146000639. The next prime is 146000653. The reversal of 146000640 is 46000641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741022 + ... + 741218.

It is an arithmetic number, because the mean of its divisors is an integer number (3271422).

Almost surely, 2146000640 is an apocalyptic number.

146000640 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 146000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235542384).

146000640 is an abundant number, since it is smaller than the sum of its proper divisors (325084128).

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

146000640 is a wasteful number, since it uses less digits than its factorization.

146000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

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

The square root of 146000640 is about 12083.0724569540. The cubic root of 146000640 is about 526.5645122242.

Subtracting from 146000640 its reverse (46000641), we obtain a palindrome (99999999).

The spelling of 146000640 in words is "one hundred forty-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 197 240 256 320 384 386 394 480 579 591 640 768 772 788 960 965 985 1158 1182 1280 1544 1576 1920 1930 1970 2316 2364 2895 2955 3088 3152 3840 3860 3940 4632 4728 5790 5910 6176 6304 7720 7880 9264 9456 11580 11820 12352 12608 15440 15760 18528 18912 23160 23640 24704 25216 30880 31520 37056 37824 38021 46320 47280 49408 50432 61760 63040 74112 75648 76042 92640 94560 114063 123520 126080 148224 151296 152084 185280 189120 190105 228126 247040 252160 304168 370560 378240 380210 456252 570315 608336 741120 756480 760420 912504 1140630 1216672 1520840 1825008 2281260 2433344 3041680 3650016 4562520 4866688 6083360 7300032 9125040 9733376 12166720 14600064 18250080 24333440 29200128 36500160 48666880 73000320 146000640