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130155552 = 2533199757
BaseRepresentation
bin1111100001000…
…00010000100000
3100001220120212000
413300200100200
5231304434202
620525404000
73140206152
oct760402040
9301816760
10130155552
116751887a
1237709600
1320c71527
1413400ad2
15b65e91c
hex7c20420

130155552 has 96 divisors (see below), whose sum is σ = 382032000. Its totient is φ = 43110144.

The previous prime is 130155521. The next prime is 130155559. The reversal of 130155552 is 255551031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (130155559) 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, 171558 + ... + 172314.

It is an arithmetic number, because the mean of its divisors is an integer number (3979500).

Almost surely, 2130155552 is an apocalyptic number.

130155552 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 130155552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191016000).

130155552 is an abundant number, since it is smaller than the sum of its proper divisors (251876448).

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

130155552 is a wasteful number, since it uses less digits than its factorization.

130155552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 130155552 is about 11408.5736181172. The cubic root of 130155552 is about 506.7816713393.

The spelling of 130155552 in words is "one hundred thirty million, one hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 757 796 864 1194 1514 1592 1791 2271 2388 3028 3184 3582 4542 4776 5373 6056 6368 6813 7164 9084 9552 10746 12112 13626 14328 18168 19104 20439 21492 24224 27252 28656 36336 40878 42984 54504 57312 72672 81756 85968 109008 150643 163512 171936 218016 301286 327024 451929 602572 654048 903858 1205144 1355787 1807716 2410288 2711574 3615432 4067361 4820576 5423148 7230864 8134722 10846296 14461728 16269444 21692592 32538888 43385184 65077776 130155552