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146075076 = 2235723067
BaseRepresentation
bin10001011010011…
…10110111000100
3101011212101100000
420231032313010
5244343400301
622254521300
73422421600
oct1055166704
9334771300
10146075076
1175501404
1240b06230
1324356574
1415586500
15cc56786
hex8b4edc4

146075076 has 108 divisors (see below), whose sum is σ = 445584048. Its totient is φ = 41722128.

The previous prime is 146075063. The next prime is 146075129. The reversal of 146075076 is 670570641.

146075076 is a `hidden beast` number, since 146 + 0 + 7 + 507 + 6 = 666.

146075076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146075076.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46095 + ... + 49161.

Almost surely, 2146075076 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 146075076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222792024).

146075076 is an abundant number, since it is smaller than the sum of its proper divisors (299508972).

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

146075076 is a wasteful number, since it uses less digits than its factorization.

146075076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 146075076 is about 12086.1522413049. The cubic root of 146075076 is about 526.6539837427.

It can be divided in two parts, 14607 and 5076, that added together give a 9-th power (19683 = 39).

The spelling of 146075076 in words is "one hundred forty-six million, seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3067 3402 3969 5292 6134 6804 7938 9201 11907 12268 15876 18402 21469 23814 27603 36804 42938 47628 55206 64407 82809 85876 110412 128814 150283 165618 193221 248427 257628 300566 331236 386442 450849 496854 579663 601132 745281 772884 901698 993708 1159326 1352547 1490562 1738989 1803396 2318652 2705094 2981124 3477978 4057641 5216967 5410188 6955956 8115282 10433934 12172923 16230564 20867868 24345846 36518769 48691692 73037538 146075076