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83897640 = 23335131593
BaseRepresentation
bin1010000000000…
…10110100101000
312211212102221000
411000002310220
5132434211030
612154115000
72036055351
oct500026450
9184772830
1083897640
11433a35a2
122411ba60
13144c6498
14b1dcd28
157573860
hex5002d28

83897640 has 128 divisors (see below), whose sum is σ = 282268800. Its totient is φ = 22164480.

The previous prime is 83897617. The next prime is 83897651. The reversal of 83897640 is 4679838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141184 + ... + 141776.

It is an arithmetic number, because the mean of its divisors is an integer number (2205225).

Almost surely, 283897640 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 83897640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

83897640 is an abundant number, since it is smaller than the sum of its proper divisors (198371160).

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

83897640 is a wasteful number, since it uses less digits than its factorization.

83897640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83897640 is about 9159.5654918779. The cubic root of 83897640 is about 437.7739497853.

The spelling of 83897640 in words is "eighty-three million, eight hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 131 135 180 216 262 270 360 393 524 540 593 655 786 1048 1080 1179 1186 1310 1572 1779 1965 2358 2372 2620 2965 3144 3537 3558 3930 4716 4744 5240 5337 5895 5930 7074 7116 7860 8895 9432 10674 11790 11860 14148 14232 15720 16011 17685 17790 21348 23580 23720 26685 28296 32022 35370 35580 42696 47160 53370 64044 70740 71160 77683 80055 106740 128088 141480 155366 160110 213480 233049 310732 320220 388415 466098 621464 640440 699147 776830 932196 1165245 1398294 1553660 1864392 2097441 2330490 2796588 3107320 3495735 4194882 4660980 5593176 6991470 8389764 9321960 10487205 13982940 16779528 20974410 27965880 41948820 83897640