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7097940 = 2232547839
BaseRepresentation
bin11011000100111001010100
3111100121112200
4123010321110
53304113230
6412044500
7114221463
oct33047124
914317480
107097940
114008873
122463730
131616985
14d2a9da
15953160
hex6c4e54

7097940 has 72 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1850304.

The previous prime is 7097939. The next prime is 7097957. The reversal of 7097940 is 497907.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7097895 and 7097904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8041 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 27097940 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 7097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

7097940 is an abundant number, since it is smaller than the sum of its proper divisors (14916780).

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

7097940 is a wasteful number, since it uses less digits than its factorization.

7097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7097940 is about 2664.1959387402. The cubic root of 7097940 is about 192.1811441483.

It can be divided in two parts, 709 and 7940, that added together give a square (8649 = 932).

The spelling of 7097940 in words is "seven million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 839 846 940 1410 1678 1692 2115 2517 2820 3356 4195 4230 5034 7551 8390 8460 10068 12585 15102 16780 25170 30204 37755 39433 50340 75510 78866 118299 151020 157732 197165 236598 354897 394330 473196 591495 709794 788660 1182990 1419588 1774485 2365980 3548970 7097940