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130004532 = 223273773191
BaseRepresentation
bin1111011111110…
…11011000110100
3100001121220200200
413233323120310
5231240121112
620522240500
73136006650
oct757733064
9301556620
10130004532
1167425369
1237656130
1320c1a878
14133a1a60
15b62ecdc
hex7bfb634

130004532 has 144 divisors (see below), whose sum is σ = 393050112. Its totient is φ = 35458560.

The previous prime is 130004521. The next prime is 130004543. The reversal of 130004532 is 235400031.

130004532 is a `hidden beast` number, since 130 + 0 + 0 + 4 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (130004521) and next prime (130004543).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680557 + ... + 680747.

Almost surely, 2130004532 is an apocalyptic number.

130004532 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 130004532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196525056).

130004532 is an abundant number, since it is smaller than the sum of its proper divisors (263045580).

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

130004532 is a wasteful number, since it uses less digits than its factorization.

130004532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130004532 is about 11401.9529906065. The cubic root of 130004532 is about 506.5855885576.

Adding to 130004532 its reverse (235400031), we get a palindrome (365404563).

The spelling of 130004532 in words is "one hundred thirty million, four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 73 74 84 111 126 146 148 191 219 222 252 259 292 333 382 438 444 511 518 573 657 666 764 777 876 1022 1036 1146 1314 1332 1337 1533 1554 1719 2044 2292 2331 2628 2674 2701 3066 3108 3438 4011 4599 4662 5348 5402 6132 6876 7067 8022 8103 9198 9324 10804 12033 13943 14134 16044 16206 18396 18907 21201 24066 24309 27886 28268 32412 37814 41829 42402 48132 48618 49469 55772 56721 63603 75628 83658 84804 97236 97601 98938 113442 125487 127206 148407 167316 170163 195202 197876 226884 250974 254412 292803 296814 340326 390404 445221 501948 515891 585606 593628 680652 878409 890442 1031782 1171212 1547673 1756818 1780884 2063564 3095346 3513636 3611237 4643019 6190692 7222474 9286038 10833711 14444948 18572076 21667422 32501133 43334844 65002266 130004532