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1090742640 = 243513734789
BaseRepresentation
bin100000100000011…
…0110100101110000
32211000102110121120
41001000312211300
54213212231030
6300122222240
736013105461
oct10100664560
92730373546
101090742640
1150a7720a9
12265354980
13144c8c160
14a4c0cd68
1565b58010
hex41036970

1090742640 has 160 divisors (see below), whose sum is σ = 3692055360. Its totient is φ = 264757248.

The previous prime is 1090742629. The next prime is 1090742641. The reversal of 1090742640 is 462470901.

It is a happy number.

It is a super-3 number, since 3×10907426403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090742641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225366 + ... + 230154.

It is an arithmetic number, because the mean of its divisors is an integer number (23075346).

Almost surely, 21090742640 is an apocalyptic number.

1090742640 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 1090742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846027680).

1090742640 is an abundant number, since it is smaller than the sum of its proper divisors (2601312720).

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

1090742640 is a wasteful number, since it uses less digits than its factorization.

1090742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1090742640 is about 33026.3930818974. The cubic root of 1090742640 is about 1029.3761390037.

The spelling of 1090742640 in words is "one billion, ninety million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 73 78 80 104 120 130 146 156 195 208 219 240 260 292 312 365 390 438 520 584 624 730 780 876 949 1040 1095 1168 1460 1560 1752 1898 2190 2847 2920 3120 3504 3796 4380 4745 4789 5694 5840 7592 8760 9490 9578 11388 14235 14367 15184 17520 18980 19156 22776 23945 28470 28734 37960 38312 45552 47890 56940 57468 62257 71835 75920 76624 95780 113880 114936 124514 143670 186771 191560 227760 229872 249028 287340 311285 349597 373542 383120 498056 574680 622570 699194 747084 933855 996112 1048791 1149360 1245140 1398388 1494168 1747985 1867710 2097582 2490280 2796776 2988336 3495970 3735420 4195164 4544761 4980560 5243955 5593552 6991940 7470840 8390328 9089522 10487910 13634283 13983880 14941680 16780656 18179044 20975820 22723805 27268566 27967760 36358088 41951640 45447610 54537132 68171415 72716176 83903280 90895220 109074264 136342830 181790440 218148528 272685660 363580880 545371320 1090742640