Search a number
-
+
2041956 = 223373773
BaseRepresentation
bin111110010100001100100
310211202001000
413302201210
51010320311
6111433300
723233140
oct7624144
93752030
102041956
111175174
12825830
13566577
143b2220
152a5056
hex1f2864

2041956 has 96 divisors (see below), whose sum is σ = 6298880. Its totient is φ = 559872.

The previous prime is 2041943. The next prime is 2041957. The reversal of 2041956 is 6591402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041957) 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, 27936 + ... + 28008.

22041956 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 2041956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149440).

2041956 is an abundant number, since it is smaller than the sum of its proper divisors (4256924).

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

2041956 is a wasteful number, since it uses less digits than its factorization.

2041956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2041956 is about 1428.9702586128. The cubic root of 2041956 is about 126.8670359080.

The spelling of 2041956 in words is "two million, forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 73 74 84 108 111 126 146 148 189 219 222 252 259 292 333 378 438 444 511 518 657 666 756 777 876 999 1022 1036 1314 1332 1533 1554 1971 1998 2044 2331 2628 2701 3066 3108 3942 3996 4599 4662 5402 6132 6993 7884 8103 9198 9324 10804 13797 13986 16206 18396 18907 24309 27594 27972 32412 37814 48618 55188 56721 72927 75628 97236 113442 145854 170163 226884 291708 340326 510489 680652 1020978 2041956