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7048140 = 22351159181
BaseRepresentation
bin11010111000101111001100
3111021002020020
4122320233030
53301020030
6411022140
7113623341
oct32705714
914232206
107048140
113a84410
12243a950
1315ca0c8
14d167c8
15943510
hex6b8bcc

7048140 has 96 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1670400.

The previous prime is 7048133. The next prime is 7048141. The reversal of 7048140 is 418407.

It is a self number, because there is not a number n which added to its sum of digits gives 7048140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7048141) by changing a digit.

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, 38850 + ... + 39030.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 27048140 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 7048140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

7048140 is an abundant number, since it is smaller than the sum of its proper divisors (14966580).

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

7048140 is a wasteful number, since it uses less digits than its factorization.

7048140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7048140 is about 2654.8333281018. The cubic root of 7048140 is about 191.7306335537.

The spelling of 7048140 in words is "seven million, forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 181 220 236 295 330 354 362 543 590 649 660 708 724 885 905 1086 1180 1298 1770 1810 1947 1991 2172 2596 2715 3245 3540 3620 3894 3982 5430 5973 6490 7788 7964 9735 9955 10679 10860 11946 12980 19470 19910 21358 23892 29865 32037 38940 39820 42716 53395 59730 64074 106790 117469 119460 128148 160185 213580 234938 320370 352407 469876 587345 640740 704814 1174690 1409628 1762035 2349380 3524070 7048140