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130208472 = 2334434673
BaseRepresentation
bin1111100001011…
…01001011011000
3100002000021110000
413300231023120
5231313132342
620530453000
73140516352
oct760551330
9302007400
10130208472
1167554609
1237734160
1320c8c644
14134160d2
15b67044c
hex7c2d2d8

130208472 has 80 divisors (see below), whose sum is σ = 373265640. Its totient is φ = 42384384.

The previous prime is 130208467. The next prime is 130208479. The reversal of 130208472 is 274802031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130208479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25528 + ... + 30200.

Almost surely, 2130208472 is an apocalyptic number.

130208472 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 130208472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186632820).

130208472 is an abundant number, since it is smaller than the sum of its proper divisors (243057168).

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

130208472 is a wasteful number, since it uses less digits than its factorization.

130208472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130208472 is about 11410.8926907582. The cubic root of 130208472 is about 506.8503462228.

The spelling of 130208472 in words is "one hundred thirty million, two hundred eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 2322 3096 3483 4644 4673 6966 9288 9346 13932 14019 18692 27864 28038 37384 42057 56076 84114 112152 126171 168228 200939 252342 336456 378513 401878 504684 602817 757026 803756 1009368 1205634 1514052 1607512 1808451 2411268 3028104 3616902 4822536 5425353 7233804 10850706 14467608 16276059 21701412 32552118 43402824 65104236 130208472