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2042964 = 2232711267
BaseRepresentation
bin111110010110001010100
310211210102100
413302301110
51010333324
6111442100
723236110
oct7626124
93753370
102042964
111175a00
12826330
13566b71
143b2740
152a54c9
hex1f2c54

2042964 has 108 divisors (see below), whose sum is σ = 6584032. Its totient is φ = 522720.

The previous prime is 2042933. The next prime is 2042969. The reversal of 2042964 is 4692402.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042969) 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 35 ways as a sum of consecutive naturals, for example, 30459 + ... + 30525.

22042964 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 2042964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292016).

2042964 is an abundant number, since it is smaller than the sum of its proper divisors (4541068).

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

2042964 is a wasteful number, since it uses less digits than its factorization.

2042964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2042964 is about 1429.3229166287. The cubic root of 2042964 is about 126.8879082048.

The spelling of 2042964 in words is "two million, forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 67 77 84 99 121 126 132 134 154 198 201 231 242 252 268 308 363 396 402 462 469 484 603 693 726 737 804 847 924 938 1089 1206 1386 1407 1452 1474 1694 1876 2178 2211 2412 2541 2772 2814 2948 3388 4221 4356 4422 5082 5159 5628 6633 7623 8107 8442 8844 10164 10318 13266 15246 15477 16214 16884 20636 24321 26532 30492 30954 32428 46431 48642 56749 61908 72963 92862 97284 113498 145926 170247 185724 226996 291852 340494 510741 680988 1021482 2042964