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130404552 = 23317437433
BaseRepresentation
bin1111100010111…
…01000011001000
3100002101020102020
413301131003020
5231340421202
620535004440
73142264125
oct761350310
9302336366
10130404552
1167678963
1237809720
132102a975
141346774c
15b6ad5bc
hex7c5d0c8

130404552 has 64 divisors (see below), whose sum is σ = 353263680. Its totient is φ = 39954432.

The previous prime is 130404551. The next prime is 130404553. The reversal of 130404552 is 255404031.

It is an interprime number because it is at equal distance from previous prime (130404551) and next prime (130404553).

It is a super-3 number, since 3×1304045523 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130404551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13828 + ... + 21260.

It is an arithmetic number, because the mean of its divisors is an integer number (5519745).

Almost surely, 2130404552 is an apocalyptic number.

130404552 is a gapful number since it is divisible by the number (12) 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 130404552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176631840).

130404552 is an abundant number, since it is smaller than the sum of its proper divisors (222859128).

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

130404552 is a wasteful number, since it uses less digits than its factorization.

130404552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 130404552 is about 11419.4812491636. The cubic root of 130404552 is about 507.1046393811.

Adding to 130404552 its reverse (255404031), we get a palindrome (385808583).

The spelling of 130404552 in words is "one hundred thirty million, four hundred four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2193 2924 4386 5848 7433 8772 14866 17544 22299 29732 44598 59464 89196 126361 178392 252722 319619 379083 505444 639238 758166 958857 1010888 1278476 1516332 1917714 2556952 3032664 3835428 5433523 7670856 10867046 16300569 21734092 32601138 43468184 65202276 130404552