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2507940 = 2232513933
BaseRepresentation
bin1001100100010010100100
311201102020200
421210102210
51120223230
6125430500
730213531
oct11442244
94642220
102507940
111463286
12a0b430
1369a6b6
14493d88
15348160
hex2644a4

2507940 has 36 divisors (see below), whose sum is σ = 7607964. Its totient is φ = 668736.

The previous prime is 2507927. The next prime is 2507957. The reversal of 2507940 is 497052.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 553536 = 1398^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6787 + ... + 7146.

22507940 is an apocalyptic number.

2507940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2507940 is an abundant number, since it is smaller than the sum of its proper divisors (5100024).

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

2507940 is a wasteful number, since it uses less digits than its factorization.

2507940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13948 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2507940 is about 1583.6476880923. The cubic root of 2507940 is about 135.8644121575.

The spelling of 2507940 in words is "two million, five hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13933 27866 41799 55732 69665 83598 125397 139330 167196 208995 250794 278660 417990 501588 626985 835980 1253970 2507940