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11034301920 = 253549146819
BaseRepresentation
bin10100100011011001…
…00001010111100000
31001110222222121121220
422101230201113200
5140044240130140
65022531215040
7540304006305
oct122154412740
931428877556
1011034301920
114752637394
12217b447480
13106b077745
1476967d0ac
15448ab7bd0
hex291b215e0

11034301920 has 96 divisors (see below), whose sum is σ = 34829585280. Its totient is φ = 2936424960.

The previous prime is 11034301867. The next prime is 11034301921. The reversal of 11034301920 is 2910343011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034301921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212271 + ... + 259089.

It is an arithmetic number, because the mean of its divisors is an integer number (362808180).

Almost surely, 211034301920 is an apocalyptic number.

11034301920 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 11034301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414792640).

11034301920 is an abundant number, since it is smaller than the sum of its proper divisors (23795283360).

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

11034301920 is a wasteful number, since it uses less digits than its factorization.

11034301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47328 (or 47320 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11034301920 its reverse (2910343011), we get a palindrome (13944644931).

The spelling of 11034301920 in words is "eleven billion, thirty-four million, three hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 491 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 39280 46819 47136 58920 78560 93638 117840 140457 187276 234095 235680 280914 374552 468190 561828 702285 749104 936380 1123656 1404570 1498208 1872760 2247312 2809140 3745520 4494624 5618280 7491040 11236560 22473120 22988129 45976258 68964387 91952516 114940645 137928774 183905032 229881290 275857548 344821935 367810064 459762580 551715096 689643870 735620128 919525160 1103430192 1379287740 1839050320 2206860384 2758575480 3678100640 5517150960 11034301920