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20976340 = 22571153257
BaseRepresentation
bin101000000000…
…1001011010100
31110110201010111
41100001023110
520332220330
62025332404
7343203340
oct120011324
943421114
1020976340
1110927920
127037104
134465948
142b00620
151c9532a
hex14012d4

20976340 has 96 divisors (see below), whose sum is σ = 56173824. Its totient is φ = 6389760.

The previous prime is 20976337. The next prime is 20976343. The reversal of 20976340 is 4367902.

20976340 = 1222 + 1232 + ... + 4012.

It is an interprime number because it is at equal distance from previous prime (20976337) and next prime (20976343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20976343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81492 + ... + 81748.

It is an arithmetic number, because the mean of its divisors is an integer number (585144).

Almost surely, 220976340 is an apocalyptic number.

20976340 is a gapful number since it is divisible by the number (20) 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 20976340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086912).

20976340 is an abundant number, since it is smaller than the sum of its proper divisors (35197484).

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

20976340 is a wasteful number, since it uses less digits than its factorization.

20976340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 20976340 is about 4579.9934497770. The cubic root of 20976340 is about 275.7887657711.

It can be divided in two parts, 20976 and 340, that added together give a square (21316 = 1462).

The spelling of 20976340 in words is "twenty million, nine hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 257 265 308 371 385 514 530 583 742 770 1028 1060 1166 1285 1484 1540 1799 1855 2332 2570 2827 2915 3598 3710 4081 5140 5654 5830 7196 7420 8162 8995 11308 11660 13621 14135 16324 17990 19789 20405 27242 28270 35980 39578 40810 54484 56540 68105 79156 81620 95347 98945 136210 149831 190694 197890 272420 299662 381388 395780 476735 599324 749155 953470 1048817 1498310 1906940 2097634 2996620 4195268 5244085 10488170 20976340