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83113840 = 2453743653
BaseRepresentation
bin1001111010000…
…11011101110000
312210101121202101
410331003131300
5132234120330
612125230144
72026312255
oct475033560
9183347671
1083113840
1142a08727
1223a02354
13142b07b4
14b07742c
15746b4ca
hex4f43770

83113840 has 80 divisors (see below), whose sum is σ = 203388768. Its totient is φ = 31546368.

The previous prime is 83113837. The next prime is 83113853. The reversal of 83113840 is 4831138.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 83113799 and 83113808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126954 + ... + 127606.

Almost surely, 283113840 is an apocalyptic number.

83113840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101694384).

83113840 is an abundant number, since it is smaller than the sum of its proper divisors (120274928).

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

83113840 is a wasteful number, since it uses less digits than its factorization.

83113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 83113840 is about 9116.6792199792. The cubic root of 83113840 is about 436.4064050042.

Adding to 83113840 its reverse (4831138), we get a palindrome (87944978).

The spelling of 83113840 in words is "eighty-three million, one hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 43 74 80 86 148 172 185 215 296 344 370 430 592 653 688 740 860 1306 1480 1591 1720 2612 2960 3182 3265 3440 5224 6364 6530 7955 10448 12728 13060 15910 24161 25456 26120 28079 31820 48322 52240 56158 63640 96644 112316 120805 127280 140395 193288 224632 241610 280790 386576 449264 483220 561580 966440 1038923 1123160 1932880 2077846 2246320 4155692 5194615 8311384 10389230 16622768 20778460 41556920 83113840