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84020976 = 2434134987
BaseRepresentation
bin1010000001000…
…00111011110000
312212002201010000
411000200323300
5133002132401
612200510000
72040111054
oct500407360
9185081100
1084020976
1143478226
122417b300
131453a670
14b231c64
15759a186
hex5020ef0

84020976 has 100 divisors (see below), whose sum is σ = 261939832. Its totient is φ = 25847424.

The previous prime is 84020947. The next prime is 84020977. The reversal of 84020976 is 67902048.

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 84020976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84020977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14355 + ... + 19341.

Almost surely, 284020976 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 84020976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130969916).

84020976 is an abundant number, since it is smaller than the sum of its proper divisors (177918856).

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

84020976 is a wasteful number, since it uses less digits than its factorization.

84020976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84020976 is about 9166.2956530978. The cubic root of 84020976 is about 437.9883652380.

The spelling of 84020976 in words is "eighty-four million, twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 4987 5616 8424 9974 14961 16848 19948 29922 39896 44883 59844 64831 79792 89766 119688 129662 134649 179532 194493 239376 259324 269298 359064 388986 403947 518648 538596 583479 718128 777972 807894 1037296 1077192 1166958 1555944 1615788 1750437 2154384 2333916 3111888 3231576 3500874 4667832 5251311 6463152 7001748 9335664 10502622 14003496 21005244 28006992 42010488 84020976