Search a number
-
+
2029104 = 243371161
BaseRepresentation
bin111101111011000110000
310211002102000
413233120300
51004412404
6111254000
723150520
oct7573060
93732360
102029104
111166550
1281a300
1356076c
143ab680
152a1339
hex1ef630

2029104 has 160 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 518400.

The previous prime is 2029091. The next prime is 2029121. The reversal of 2029104 is 4019202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33234 + ... + 33294.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

22029104 is an apocalyptic number.

2029104 is a gapful number since it is divisible by the number (24) 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 2029104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2029104 is an abundant number, since it is smaller than the sum of its proper divisors (5351376).

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

2029104 is a wasteful number, since it uses less digits than its factorization.

2029104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2029104 is about 1424.4662158156. The cubic root of 2029104 is about 126.6003099653.

The spelling of 2029104 in words is "two million, twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 61 63 66 72 77 84 88 99 108 112 122 126 132 144 154 168 176 183 189 198 216 231 244 252 264 297 308 336 366 378 396 427 432 462 488 504 528 549 594 616 671 693 732 756 792 854 924 976 1008 1098 1188 1232 1281 1342 1386 1464 1512 1584 1647 1708 1848 2013 2079 2196 2376 2562 2684 2772 2928 3024 3294 3416 3696 3843 4026 4158 4392 4697 4752 5124 5368 5544 6039 6588 6832 7686 8052 8316 8784 9394 10248 10736 11088 11529 12078 13176 14091 15372 16104 16632 18117 18788 20496 23058 24156 26352 28182 30744 32208 33264 36234 37576 42273 46116 48312 56364 61488 72468 75152 84546 92232 96624 112728 126819 144936 169092 184464 225456 253638 289872 338184 507276 676368 1014552 2029104