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2930928 = 2437111361
BaseRepresentation
bin1011001011100011110000
312111220110220
423023203300
51222242203
6142453040
733624660
oct13134360
95456426
102930928
111722060
12b94180
137b80a0
145641a0
153cd653
hex2cb8f0

2930928 has 160 divisors (see below), whose sum is σ = 10332672. Its totient is φ = 691200.

The previous prime is 2930911. The next prime is 2930947. The reversal of 2930928 is 8290392.

2930928 = 2872 + 2882 + ... + 3182.

2930928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 48018 + ... + 48078.

22930928 is an apocalyptic number.

2930928 is a gapful number since it is divisible by the number (28) 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 2930928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336).

2930928 is an abundant number, since it is smaller than the sum of its proper divisors (7401744).

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

2930928 is a wasteful number, since it uses less digits than its factorization.

2930928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2930928 is about 1711.9953270964. The cubic root of 2930928 is about 143.1094732812.

It can be divided in two parts, 2 and 930928, that added together give a triangular number (930930 = T1364).

The spelling of 2930928 in words is "two million, nine hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 61 66 77 78 84 88 91 104 112 122 132 143 154 156 168 176 182 183 208 231 244 264 273 286 308 312 336 364 366 427 429 462 488 528 546 572 616 624 671 728 732 793 854 858 924 976 1001 1092 1144 1232 1281 1342 1456 1464 1586 1708 1716 1848 2002 2013 2184 2288 2379 2562 2684 2928 3003 3172 3416 3432 3696 4004 4026 4368 4697 4758 5124 5368 5551 6006 6344 6832 6864 8008 8052 8723 9394 9516 10248 10736 11102 12012 12688 14091 16016 16104 16653 17446 18788 19032 20496 22204 24024 26169 28182 32208 33306 34892 37576 38064 44408 48048 52338 56364 61061 66612 69784 75152 88816 104676 112728 122122 133224 139568 183183 209352 225456 244244 266448 366366 418704 488488 732732 976976 1465464 2930928