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2933040 = 2435112101
BaseRepresentation
bin1011001100000100110000
312112000101010
423030010300
51222324130
6142510520
733634065
oct13140460
95460333
102933040
111723700
12b95440
137b9036
14564c6c
153ce0b0
hex2cc130

2933040 has 120 divisors (see below), whose sum is σ = 10093104. Its totient is φ = 704000.

The previous prime is 2933023. The next prime is 2933071. The reversal of 2933040 is 403392.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2932998 and 2933016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28990 + ... + 29090.

22933040 is an apocalyptic number.

2933040 is a gapful number since it is divisible by the number (20) 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 2933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046552).

2933040 is an abundant number, since it is smaller than the sum of its proper divisors (7160064).

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

2933040 is a wasteful number, since it uses less digits than its factorization.

2933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2933040 is about 1712.6120401305. The cubic root of 2933040 is about 143.1438394885.

Subtracting from 2933040 its product of nonzero digits (648), we obtain a palindrome (2932392).

It can be divided in two parts, 293 and 3040, that added together give a palindrome (3333).

The spelling of 2933040 in words is "two million, nine hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 121 132 165 176 202 220 240 242 264 303 330 363 404 440 484 505 528 605 606 660 726 808 880 968 1010 1111 1210 1212 1320 1452 1515 1616 1815 1936 2020 2222 2420 2424 2640 2904 3030 3333 3630 4040 4444 4840 4848 5555 5808 6060 6666 7260 8080 8888 9680 11110 12120 12221 13332 14520 16665 17776 22220 24240 24442 26664 29040 33330 36663 44440 48884 53328 61105 66660 73326 88880 97768 122210 133320 146652 183315 195536 244420 266640 293304 366630 488840 586608 733260 977680 1466520 2933040