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84011466 = 23711475373
BaseRepresentation
bin1010000000111…
…10100111001010
312212002020001210
411000132213022
5133001331331
612200353550
72040041250
oct500364712
9185066053
1084011466
1143471070
12241758b6
1314536236
14b22c5d0
157597446
hex501e9ca

84011466 has 128 divisors (see below), whose sum is σ = 220962816. Its totient is φ = 20666880.

The previous prime is 84011443. The next prime is 84011489. The reversal of 84011466 is 66411048.

It is an interprime number because it is at equal distance from previous prime (84011443) and next prime (84011489).

84011466 is a modest number, since divided by 11466 gives 84 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150806 + ... + 1150878.

It is an arithmetic number, because the mean of its divisors is an integer number (1726272).

Almost surely, 284011466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84011466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110481408).

84011466 is an abundant number, since it is smaller than the sum of its proper divisors (136951350).

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

84011466 is a wasteful number, since it uses less digits than its factorization.

84011466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 84011466 is about 9165.7768901496. The cubic root of 84011466 is about 437.9718398943.

The spelling of 84011466 in words is "eighty-four million, eleven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 53 66 73 77 94 106 141 146 154 159 219 231 282 318 329 371 438 462 511 517 583 658 742 803 987 1022 1034 1113 1166 1533 1551 1606 1749 1974 2226 2409 2491 3066 3102 3431 3498 3619 3869 4081 4818 4982 5621 6862 7238 7473 7738 8162 10293 10857 11242 11607 12243 14946 16863 17437 20586 21714 23214 24017 24486 27083 27401 33726 34874 37741 42559 48034 52311 54166 54802 72051 75482 81249 82203 85118 104622 113223 127677 144102 162498 164406 181843 191807 226446 255354 264187 297913 363686 383614 528374 545529 575421 595826 792561 893739 1091058 1150842 1272901 1585122 1787478 2000273 2545802 3818703 4000546 6000819 7637406 12001638 14001911 28003822 42005733 84011466