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2473940 = 225741431
BaseRepresentation
bin1001011011111111010100
311122200121102
421123333110
51113131230
6125005232
730012440
oct11337724
94580542
102473940
11143a787
129b3818
13688091
14485820
1533d045
hex25bfd4

2473940 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 825600.

The previous prime is 2473937. The next prime is 2473943. The reversal of 2473940 is 493742.

It is an interprime number because it is at equal distance from previous prime (2473937) and next prime (2473943).

It is a super-2 number, since 2×24739402 = 12240758247200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5525 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22473940 is an apocalyptic number.

2473940 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 2473940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2473940 is an abundant number, since it is smaller than the sum of its proper divisors (3622444).

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

2473940 is a wasteful number, since it uses less digits than its factorization.

2473940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2473940 is about 1572.8763460616. The cubic root of 2473940 is about 135.2476478533.

The spelling of 2473940 in words is "two million, four hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 431 574 820 862 1148 1435 1724 2155 2870 3017 4310 5740 6034 8620 12068 15085 17671 30170 35342 60340 70684 88355 123697 176710 247394 353420 494788 618485 1236970 2473940