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2093366340 = 22325138231087
BaseRepresentation
bin111110011000110…
…0011110001000100
312101220001000202200
41330301203301010
513241400210330
6543420034500
7102606214602
oct17461436104
95356030680
102093366340
1198471812a
124a5092a30
13274907610
1415c040872
15c3ba6a60
hex7cc63c44

2093366340 has 144 divisors (see below), whose sum is σ = 6852937728. Its totient is φ = 514190592.

The previous prime is 2093366309. The next prime is 2093366389. The reversal of 2093366340 is 436633902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2093366295 and 2093366304.

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, 1925277 + ... + 1926363.

Almost surely, 22093366340 is an apocalyptic number.

2093366340 is a gapful number since it is divisible by the number (20) 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 2093366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426468864).

2093366340 is an abundant number, since it is smaller than the sum of its proper divisors (4759571388).

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

2093366340 is a wasteful number, since it uses less digits than its factorization.

2093366340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 2093366340 is about 45753.3205352355. The cubic root of 2093366340 is about 1279.2293415988.

The spelling of 2093366340 in words is "two billion, ninety-three million, three hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 823 1087 1170 1646 2174 2340 2469 3261 3292 4115 4348 4938 5435 6522 7407 8230 9783 9876 10699 10870 12345 13044 14131 14814 16305 16460 19566 21398 21740 24690 28262 29628 32097 32610 37035 39132 42393 42796 48915 49380 53495 56524 64194 65220 70655 74070 84786 96291 97830 106990 127179 128388 141310 148140 160485 169572 192582 195660 211965 213980 254358 282620 320970 385164 423930 481455 508716 635895 641940 847860 894601 962910 1271790 1789202 1925820 2543580 2683803 3578404 4473005 5367606 8051409 8946010 10735212 11629813 13419015 16102818 17892020 23259626 26838030 32205636 34889439 40257045 46519252 53676060 58149065 69778878 80514090 104668317 116298130 139557756 161028180 174447195 209336634 232596260 348894390 418673268 523341585 697788780 1046683170 2093366340