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2930640 = 243512211
BaseRepresentation
bin1011001011011111010000
312111220002020
423023133100
51222240030
6142451440
733624066
oct13133720
95456066
102930640
111721919
12b93b80
137b7c0b
14564036
153cd510
hex2cb7d0

2930640 has 40 divisors (see below), whose sum is σ = 9085728. Its totient is φ = 781440.

The previous prime is 2930633. The next prime is 2930651. The reversal of 2930640 is 460392.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2930640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5866 + ... + 6345.

22930640 is an apocalyptic number.

2930640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2930640 is an abundant number, since it is smaller than the sum of its proper divisors (6155088).

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

2930640 is a wasteful number, since it uses less digits than its factorization.

2930640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2930640 is about 1711.9112126509. The cubic root of 2930640 is about 143.1047857012.

It can be divided in two parts, 2930 and 640, that added together give a triangular number (3570 = T84).

The spelling of 2930640 in words is "two million, nine hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12211 24422 36633 48844 61055 73266 97688 122110 146532 183165 195376 244220 293064 366330 488440 586128 732660 976880 1465320 2930640