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83804940 = 22325676949
BaseRepresentation
bin1001111111011…
…00001100001100
312211200201202200
410333230030030
5132423224230
612152121500
72035221162
oct477541414
9184621680
1083804940
114333a98a
1224096290
131449322b
14b1b7232
157556160
hex4fec30c

83804940 has 72 divisors (see below), whose sum is σ = 258039600. Its totient is φ = 22011264.

The previous prime is 83804927. The next prime is 83804947. The reversal of 83804940 is 4940838.

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

It is a junction number, because it is equal to n+sod(n) for n = 83804895 and 83804904.

It is not an unprimeable number, because it can be changed into a prime (83804947) 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, 8586 + ... + 15534.

Almost surely, 283804940 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 83804940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129019800).

83804940 is an abundant number, since it is smaller than the sum of its proper divisors (174234660).

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

83804940 is a wasteful number, since it uses less digits than its factorization.

83804940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83804940 is about 9154.5038096010. The cubic root of 83804940 is about 437.6126556147.

The spelling of 83804940 in words is "eighty-three million, eight hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 6949 12060 13898 20847 27796 34745 41694 62541 69490 83388 104235 125082 138980 208470 250164 312705 416940 465583 625410 931166 1250820 1396749 1862332 2327915 2793498 4190247 4655830 5586996 6983745 8380494 9311660 13967490 16760988 20951235 27934980 41902470 83804940