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3961103620 = 2252983107769
BaseRepresentation
bin1110110000011001…
…1010010100000100
3101020001111220122111
43230012122110010
531103020303440
61453020110404
7200105553025
oct35406322404
911201456574
103961103620
111752a37861
12926695404
134b18532c6
1429810ac4c
15182b404ea
hexec19a504

3961103620 has 96 divisors (see below), whose sum is σ = 8801654400. Its totient is φ = 1495302144.

The previous prime is 3961103617. The next prime is 3961103701. The reversal of 3961103620 is 263011693.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5150596 + ... + 5151364.

It is an arithmetic number, because the mean of its divisors is an integer number (91683900).

Almost surely, 23961103620 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 3961103620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400827200).

3961103620 is an abundant number, since it is smaller than the sum of its proper divisors (4840550780).

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

3961103620 is a wasteful number, since it uses less digits than its factorization.

3961103620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 3961103620 is about 62937.2991158661. The cubic root of 3961103620 is about 1582.2389371251.

The spelling of 3961103620 in words is "three billion, nine hundred sixty-one million, one hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 83 107 116 145 166 214 290 332 415 428 535 580 769 830 1070 1538 1660 2140 2407 3076 3103 3845 4814 6206 7690 8881 9628 12035 12412 15380 15515 17762 22301 24070 31030 35524 44405 44602 48140 62060 63827 82283 88810 89204 111505 127654 164566 177620 223010 255308 257549 319135 329132 411415 446020 515098 638270 822830 1030196 1276540 1287745 1645660 1850983 2386207 2575490 3701966 4772414 5150980 6829489 7403932 9254915 9544828 11931035 13658978 18509830 23862070 27317956 34147445 37019660 47724140 68294890 136589780 198055181 396110362 792220724 990275905 1980551810 3961103620