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2093926440 = 2335232926161
BaseRepresentation
bin111110011001110…
…1100100000101000
312101221002111002010
41330303230200220
513242021121230
6543440035520
7102614036544
oct17463544050
95357074063
102093926440
11984a6aa21
124a5302ba0
13274a72538
1415c148a24
15c3c679b0
hex7ccec828

2093926440 has 128 divisors (see below), whose sum is σ = 6781190400. Its totient is φ = 515665920.

The previous prime is 2093926421. The next prime is 2093926477. The reversal of 2093926440 is 446293902.

It is a super-2 number, since 2×20939264402 = 8769055872262147200, which contains 22 as substring.

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, 66960 + ... + 93120.

It is an arithmetic number, because the mean of its divisors is an integer number (52978050).

Almost surely, 22093926440 is an apocalyptic number.

2093926440 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 2093926440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390595200).

2093926440 is an abundant number, since it is smaller than the sum of its proper divisors (4687263960).

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

2093926440 is a wasteful number, since it uses less digits than its factorization.

2093926440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26227 (or 26223 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2093926440 is about 45759.4409930891. The cubic root of 2093926440 is about 1279.3434214023.

The spelling of 2093926440 in words is "two billion, ninety-three million, nine hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26161 26680 40020 52322 78483 80040 104644 130805 156966 209288 261610 313932 392415 523220 601703 627864 758669 784830 1046440 1203406 1517338 1569660 1805109 2276007 2406812 3008515 3034676 3139320 3610218 3793345 4552014 4813624 6017030 6069352 7220436 7586690 9025545 9104028 11380035 12034060 14440872 15173380 17449387 18051090 18208056 22760070 24068120 30346760 34898774 36102180 45520140 52348161 69797548 72204360 87246935 91040280 104696322 139595096 174493870 209392644 261740805 348987740 418785288 523481610 697975480 1046963220 2093926440