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130400240 = 2452956207
BaseRepresentation
bin1111100010110…
…11111111110000
3100002101000111112
413301123333300
5231340301430
620534532452
73142245425
oct761337760
9302330445
10130400240
11676756a3
1237807128
1321028a09
1413465d4c
15b6ac195
hex7c5bff0

130400240 has 40 divisors (see below), whose sum is σ = 313640640. Its totient is φ = 50360576.

The previous prime is 130400203. The next prime is 130400261. The reversal of 130400240 is 42004031.

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

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, 25784 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (7841016).

Almost surely, 2130400240 is an apocalyptic number.

130400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130400240 is an abundant number, since it is smaller than the sum of its proper divisors (183240400).

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

130400240 is a wasteful number, since it uses less digits than its factorization.

130400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56249 (or 56243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130400240 is about 11419.2924474330. The cubic root of 130400240 is about 507.0990499563.

Adding to 130400240 its reverse (42004031), we get a palindrome (172404271).

The spelling of 130400240 in words is "one hundred thirty million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 56207 112414 224828 281035 449656 562070 899312 1124140 1630003 2248280 3260006 4496560 6520012 8150015 13040024 16300030 26080048 32600060 65200120 130400240