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1993596920 = 235783109787
BaseRepresentation
bin111011011010011…
…1101111111111000
312010221022012211222
41312310331333320
513040330100140
6525453411212
7100255202630
oct16664757770
95127265758
101993596920
11933373967
12477799b08
1325a044a63
1414caad6c0
15ba04a5b5
hex76d3dff8

1993596920 has 128 divisors (see below), whose sum is σ = 5242406400. Its totient is φ = 668238336.

The previous prime is 1993596911. The next prime is 1993596923. The reversal of 1993596920 is 296953991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993596923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532767 + ... + 2533553.

It is an arithmetic number, because the mean of its divisors is an integer number (40956300).

Almost surely, 21993596920 is an apocalyptic number.

1993596920 is a gapful number since it is divisible by the number (10) 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 1993596920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621203200).

1993596920 is an abundant number, since it is smaller than the sum of its proper divisors (3248809480).

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

1993596920 is a wasteful number, since it uses less digits than its factorization.

1993596920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 53.

The square root of 1993596920 is about 44649.7135489132. The cubic root of 1993596920 is about 1258.5750499010.

The spelling of 1993596920 in words is "one billion, nine hundred ninety-three million, five hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 109 140 166 218 280 332 415 436 545 581 664 763 787 830 872 1090 1162 1526 1574 1660 2180 2324 2905 3052 3148 3320 3815 3935 4360 4648 5509 5810 6104 6296 7630 7870 9047 11018 11620 15260 15740 18094 22036 23240 27545 30520 31480 36188 44072 45235 55090 63329 65321 72376 85783 90470 110180 126658 130642 171566 180940 220360 253316 261284 316645 326605 343132 361880 428915 457247 506632 522568 600481 633290 653210 686264 857830 914494 1200962 1266580 1306420 1715660 1828988 2286235 2401924 2533160 2612840 3002405 3431320 3657976 4572470 4803848 6004810 7119989 9144940 12009620 14239978 18289880 24019240 28479956 35599945 49839923 56959912 71199890 99679846 142399780 199359692 249199615 284799560 398719384 498399230 996798460 1993596920