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5935404420 = 223251112592381
BaseRepresentation
bin1011000011100011…
…10001010110000100
3120022122111210012100
411201301301112010
544123430420140
62420544152100
7300041051031
oct54161612604
916278453170
105935404420
112576421210
121197908630
137378a012a
144043d6388
1524b128530
hex161c71584

5935404420 has 144 divisors (see below), whose sum is σ = 19664648640. Its totient is φ = 1437139200.

The previous prime is 5935404413. The next prime is 5935404437. The reversal of 5935404420 is 244045395.

It is a happy number.

5935404420 is a `hidden beast` number, since 5 + 93 + 540 + 4 + 4 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491630 + ... + 2494010.

It is an arithmetic number, because the mean of its divisors is an integer number (136560060).

Almost surely, 25935404420 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 5935404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832324320).

5935404420 is an abundant number, since it is smaller than the sum of its proper divisors (13729244220).

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

5935404420 is a wasteful number, since it uses less digits than its factorization.

5935404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5935404420 is about 77041.5759184611. The cubic root of 5935404420 is about 1810.5760526170.

The spelling of 5935404420 in words is "five billion, nine hundred thirty-five million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1259 1980 2381 2518 3777 4762 5036 6295 7143 7554 9524 11331 11905 12590 13849 14286 15108 18885 21429 22662 23810 25180 26191 27698 28572 35715 37770 41547 42858 45324 47620 52382 55396 56655 69245 71430 75540 78573 83094 85716 104764 107145 113310 124641 130955 138490 142860 157146 166188 207735 214290 226620 235719 249282 261910 276980 314292 392865 415470 428580 471438 498564 523820 623205 785730 830940 942876 1178595 1246410 1571460 2357190 2492820 2997679 4714380 5995358 8993037 11990716 14988395 17986074 26979111 29976790 32974469 35972148 44965185 53958222 59953580 65948938 89930370 98923407 107916444 131897876 134895555 164872345 179860740 197846814 269791110 296770221 329744690 395693628 494617035 539582220 593540442 659489380 989234070 1187080884 1483851105 1978468140 2967702210 5935404420