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9010303640 = 23513371732707
BaseRepresentation
bin10000110010000111…
…00101001010011000
3212020221110211221122
420121003211022120
5121423114204030
64050030024412
7436166213552
oct103103451230
925227424848
109010303640
113904099538
1218b5648108
13b0794a120
146169384d2
1537b0648e5
hex2190e5298

9010303640 has 128 divisors (see below), whose sum is σ = 22560672960. Its totient is φ = 3217065984.

The previous prime is 9010303607. The next prime is 9010303681. The reversal of 9010303640 is 463030109.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327167 + ... + 3329873.

Almost surely, 29010303640 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 9010303640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280336480).

9010303640 is an abundant number, since it is smaller than the sum of its proper divisors (13550369320).

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

9010303640 is a wasteful number, since it uses less digits than its factorization.

9010303640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 9010303640 is about 94922.6192221854. The cubic root of 9010303640 is about 2080.8773142043.

Adding to 9010303640 its reverse (463030109), we get a palindrome (9473333749).

The spelling of 9010303640 in words is "nine billion, ten million, three hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 173 185 260 296 346 370 481 520 692 740 865 962 1384 1480 1730 1924 2249 2405 2707 3460 3848 4498 4810 5414 6401 6920 8996 9620 10828 11245 12802 13535 17992 19240 21656 22490 25604 27070 32005 35191 44980 51208 54140 64010 70382 83213 89960 100159 108280 128020 140764 166426 175955 200318 256040 281528 332852 351910 400636 416065 468311 500795 665704 703820 801272 832130 936622 1001590 1302067 1407640 1664260 1873244 2003180 2341555 2604134 3328520 3746488 4006360 4683110 5208268 6088043 6510335 9366220 10416536 12176086 13020670 17327507 18732440 24352172 26041340 30440215 34655014 48704344 52082680 60880430 69310028 86637535 121760860 138620056 173275070 225257591 243521720 346550140 450515182 693100280 901030364 1126287955 1802060728 2252575910 4505151820 9010303640