Search a number
-
+
7420067040 = 253522768099
BaseRepresentation
bin1101110100100010…
…10011110011100000
3201011010011110102210
412322101103303200
5110144014121130
63224141442120
7351606346341
oct67221236340
921133143383
107420067040
113168486211
121530b70340
13913352319
145056660c8
152d66435b0
hex1ba453ce0

7420067040 has 96 divisors (see below), whose sum is σ = 23476521600. Its totient is φ = 1969938944.

The previous prime is 7420067033. The next prime is 7420067063. The reversal of 7420067040 is 407600247.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 7420066989 and 7420067007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74911 + ... + 143009.

It is an arithmetic number, because the mean of its divisors is an integer number (244547100).

Almost surely, 27420067040 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 7420067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738260800).

7420067040 is an abundant number, since it is smaller than the sum of its proper divisors (16056454560).

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

7420067040 is a wasteful number, since it uses less digits than its factorization.

7420067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68344 (or 68336 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7420067040 is about 86139.8110051328. The cubic root of 7420067040 is about 1950.4550364773.

Adding to 7420067040 its reverse (407600247), we get a palindrome (7827667287).

The spelling of 7420067040 in words is "seven billion, four hundred twenty million, sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 454 480 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 18160 21792 27240 36320 54480 68099 108960 136198 204297 272396 340495 408594 544792 680990 817188 1021485 1089584 1361980 1634376 2042970 2179168 2723960 3268752 4085940 5447920 6537504 8171880 10895840 15458473 16343760 30916946 32687520 46375419 61833892 77292365 92750838 123667784 154584730 185501676 231877095 247335568 309169460 371003352 463754190 494671136 618338920 742006704 927508380 1236677840 1484013408 1855016760 2473355680 3710033520 7420067040