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1941940 = 2257111397
BaseRepresentation
bin111011010000110110100
310122122211201
413122012310
5444120230
6105342244
722335430
oct7320664
93578751
101941940
111107010
12797984
1352cba0
143879c0
152855ca
hex1da1b4

1941940 has 96 divisors (see below), whose sum is σ = 5531904. Its totient is φ = 552960.

The previous prime is 1941937. The next prime is 1941941. The reversal of 1941940 is 491491.

It is a super-2 number, since 2×19419402 = 7542261927200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1941899 and 1941908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19972 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (57624).

21941940 is an apocalyptic number.

1941940 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 1941940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765952).

1941940 is an abundant number, since it is smaller than the sum of its proper divisors (3589964).

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

1941940 is a wasteful number, since it uses less digits than its factorization.

1941940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1941940 is about 1393.5350731144. The cubic root of 1941940 is about 124.7609297214.

Adding to 1941940 its product of nonzero digits (1296), we get a square (1943236 = 13942).

The spelling of 1941940 in words is "one million, nine hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 97 110 130 140 143 154 182 194 220 260 286 308 364 385 388 455 485 572 679 715 770 910 970 1001 1067 1261 1358 1430 1540 1820 1940 2002 2134 2522 2716 2860 3395 4004 4268 5005 5044 5335 6305 6790 7469 8827 10010 10670 12610 13580 13871 14938 17654 20020 21340 25220 27742 29876 35308 37345 44135 55484 69355 74690 88270 97097 138710 149380 176540 194194 277420 388388 485485 970970 1941940