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146230968 = 233132311163
BaseRepresentation
bin10001011011101…
…00111010111000
3101012011022011210
420231310322320
5244413342333
622302123120
73423641232
oct1055647270
9335138153
10146230968
11755a8544
1240b804a0
13243ac500
14155c7252
15cc87a63
hex8b74eb8

146230968 has 96 divisors (see below), whose sum is σ = 408983040. Its totient is φ = 43505280.

The previous prime is 146230951. The next prime is 146230979. The reversal of 146230968 is 869032641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125155 + ... + 126317.

It is an arithmetic number, because the mean of its divisors is an integer number (4260240).

Almost surely, 2146230968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146230968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204491520).

146230968 is an abundant number, since it is smaller than the sum of its proper divisors (262752072).

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

146230968 is a wasteful number, since it uses less digits than its factorization.

146230968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 146230968 is about 12092.5997204902. The cubic root of 146230968 is about 526.8412663286.

The spelling of 146230968 in words is "one hundred forty-six million, two hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1163 1209 1352 1612 2028 2326 2418 3224 3489 4056 4652 4836 5239 6978 9304 9672 10478 13956 15119 15717 20956 27912 30238 31434 36053 41912 45357 60476 62868 72106 90714 108159 120952 125736 144212 181428 196547 216318 288424 362856 393094 432636 468689 589641 786188 865272 937378 1179282 1406067 1572376 1874756 2358564 2812134 3749512 4717128 5624268 6092957 11248536 12185914 18278871 24371828 36557742 48743656 73115484 146230968