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146074812 = 2231321719223
BaseRepresentation
bin10001011010011…
…10110010111100
3101011212100222020
420231032302330
5244343343222
622254520140
73422421042
oct1055166274
9334770866
10146074812
1175501194
1240b06050
1324356400
1415586392
15cc5665c
hex8b4ecbc

146074812 has 144 divisors (see below), whose sum is σ = 413199360. Its totient is φ = 39896064.

The previous prime is 146074787. The next prime is 146074813. The reversal of 146074812 is 218470641.

146074812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146074813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654933 + ... + 655155.

It is an arithmetic number, because the mean of its divisors is an integer number (2869440).

Almost surely, 2146074812 is an apocalyptic number.

146074812 is a gapful number since it is divisible by the number (12) 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 146074812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206599680).

146074812 is an abundant number, since it is smaller than the sum of its proper divisors (267124548).

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

146074812 is a wasteful number, since it uses less digits than its factorization.

146074812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 146074812 is about 12086.1413197099. The cubic root of 146074812 is about 526.6536664704.

The spelling of 146074812 in words is "one hundred forty-six million, seventy-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 169 204 221 223 228 247 323 338 442 446 494 507 646 663 669 676 741 884 892 969 988 1014 1292 1326 1338 1482 1938 2028 2652 2676 2873 2899 2964 3211 3791 3876 4199 4237 5746 5798 6422 7582 8398 8474 8619 8697 9633 11373 11492 11596 12597 12711 12844 15164 16796 16948 17238 17394 19266 22746 25194 25422 34476 34788 37687 38532 45492 49283 50388 50844 54587 55081 72029 75374 98566 109174 110162 113061 144058 147849 150748 163761 165243 197132 216087 218348 220324 226122 288116 295698 327522 330486 432174 452244 591396 640679 655044 660972 716053 864348 936377 1281358 1432106 1872754 1922037 2148159 2562716 2809131 2864212 3745508 3844074 4296318 5618262 7688148 8592636 11236524 12172901 24345802 36518703 48691604 73037406 146074812