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93003066 = 2341324379
BaseRepresentation
bin1011000101100…
…01110100111010
320111000001020000
411202301310322
5142302044231
613121213430
72206340652
oct542616472
9214001200
1093003066
1148552642
1227191276
1316363b00
14c4cd362
1582716e6
hex58b1d3a

93003066 has 120 divisors (see below), whose sum is σ = 233830080. Its totient is φ = 27597024.

The previous prime is 93003061. The next prime is 93003067. The reversal of 93003066 is 66030039.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93003061) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1177215 + ... + 1177293.

It is an arithmetic number, because the mean of its divisors is an integer number (1948584).

Almost surely, 293003066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93003066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116915040).

93003066 is an abundant number, since it is smaller than the sum of its proper divisors (140827014).

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

93003066 is a wasteful number, since it uses less digits than its factorization.

93003066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 93003066 is about 9643.8097243776. The cubic root of 93003066 is about 453.0704684024.

The spelling of 93003066 in words is "ninety-three million, three thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 79 81 86 117 129 158 162 169 234 237 258 338 351 387 474 507 559 702 711 774 1014 1027 1053 1118 1161 1422 1521 1677 2054 2106 2133 2322 3042 3081 3354 3397 3483 4266 4563 5031 6162 6399 6794 6966 7267 9126 9243 10062 10191 12798 13351 13689 14534 15093 18486 20382 21801 26702 27378 27729 30186 30573 40053 43602 44161 45279 55458 61146 65403 80106 83187 88322 90558 91719 120159 130806 132483 166374 183438 196209 240318 264966 275157 360477 392418 397449 550314 574093 588627 720954 794898 1081431 1148186 1177254 1192347 1722279 2162862 2384694 3444558 3577041 5166837 7154082 10333674 15500511 31001022 46501533 93003066