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130917984 = 2531399811
BaseRepresentation
bin1111100110110…
…10011001100000
3100010100022201020
413303122121200
5232003333414
620554005440
73146533041
oct763323140
9303308636
10130917984
116799968a
1237a16880
132117a582
141355c8c8
15b7607a9
hex7cda660

130917984 has 48 divisors (see below), whose sum is σ = 346167360. Its totient is φ = 43320960.

The previous prime is 130917979. The next prime is 130917989. The reversal of 130917984 is 489719031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130917979) and next prime (130917989).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130917989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8439 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (7211820).

Almost surely, 2130917984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130917984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173083680).

130917984 is an abundant number, since it is smaller than the sum of its proper divisors (215249376).

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

130917984 is a wasteful number, since it uses less digits than its factorization.

130917984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 130917984 is about 11441.9396956985. The cubic root of 130917984 is about 507.7692961158.

The spelling of 130917984 in words is "one hundred thirty million, nine hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 9811 13344 19622 29433 39244 58866 78488 117732 156976 235464 313952 470928 941856 1363729 2727458 4091187 5454916 8182374 10909832 16364748 21819664 32729496 43639328 65458992 130917984