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84036920 = 23511297179
BaseRepresentation
bin1010000001001…
…00110100111000
312212010111222112
411000210310320
5133003140140
612201111452
72040205412
oct500446470
9185114875
1084036920
1143489200
1224188588
13145449b6
14b2379b2
15759ec65
hex5024d38

84036920 has 96 divisors (see below), whose sum is σ = 211150800. Its totient is φ = 30074880.

The previous prime is 84036913. The next prime is 84036923. The reversal of 84036920 is 2963048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84036923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469391 + ... + 469569.

Almost surely, 284036920 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 84036920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105575400).

84036920 is an abundant number, since it is smaller than the sum of its proper divisors (127113880).

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

84036920 is a wasteful number, since it uses less digits than its factorization.

84036920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 84036920 is about 9167.1653197703. The cubic root of 84036920 is about 438.0160680218.

Adding to 84036920 its reverse (2963048), we get a palindrome (86999968).

The spelling of 84036920 in words is "eighty-four million, thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 121 179 194 220 242 358 388 440 484 485 605 716 776 895 968 970 1067 1210 1432 1790 1940 1969 2134 2420 3580 3880 3938 4268 4840 5335 7160 7876 8536 9845 10670 11737 15752 17363 19690 21340 21659 23474 34726 39380 42680 43318 46948 58685 69452 78760 86636 86815 93896 108295 117370 138904 173272 173630 190993 216590 234740 347260 381986 433180 469480 694520 763972 866360 954965 1527944 1909930 2100923 3819860 4201846 7639720 8403692 10504615 16807384 21009230 42018460 84036920