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83277020 = 22523269673
BaseRepresentation
bin1001111011010…
…11010011011100
312210200220121002
410331223103130
5132304331040
612132525432
72030562101
oct475532334
9183626532
1083277020
114300a292
1223a80878
1314339b58
14b0baaa8
15749ea15
hex4f6b4dc

83277020 has 48 divisors (see below), whose sum is σ = 183435840. Its totient is φ = 31696896.

The previous prime is 83276933. The next prime is 83277049. The reversal of 83277020 is 2077238.

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, 123404 + ... + 124076.

It is an arithmetic number, because the mean of its divisors is an integer number (3821580).

Almost surely, 283277020 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 83277020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91717920).

83277020 is an abundant number, since it is smaller than the sum of its proper divisors (100158820).

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

83277020 is a wasteful number, since it uses less digits than its factorization.

83277020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 83277020 is about 9125.6243622012. The cubic root of 83277020 is about 436.6918217417.

The spelling of 83277020 in words is "eighty-three million, two hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 269 460 538 673 1076 1345 1346 2690 2692 3365 5380 6187 6730 12374 13460 15479 24748 30935 30958 61870 61916 77395 123740 154790 181037 309580 362074 724148 905185 1810370 3620740 4163851 8327702 16655404 20819255 41638510 83277020