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115981680 = 2435372353
BaseRepresentation
bin1101110100110…
…11110101110000
322002020110221210
412322123311300
5214142403210
615301520120
72605554003
oct672336560
9262213853
10115981680
115a517831
1232a13040
131b04ac19
141159153a
15a2aee20
hex6e9bd70

115981680 has 120 divisors (see below), whose sum is σ = 370570032. Its totient is φ = 30007296.

The previous prime is 115981673. The next prime is 115981703. The reversal of 115981680 is 86189511.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328384 + ... + 328736.

Almost surely, 2115981680 is an apocalyptic number.

115981680 is a gapful number since it is divisible by the number (10) 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 115981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185285016).

115981680 is an abundant number, since it is smaller than the sum of its proper divisors (254588352).

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

115981680 is a wasteful number, since it uses less digits than its factorization.

115981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The square root of 115981680 is about 10769.4790960380. The cubic root of 115981680 is about 487.6742204393.

The spelling of 115981680 in words is "one hundred fifteen million, nine hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 353 370 444 555 592 706 740 888 1059 1110 1369 1412 1480 1765 1776 2118 2220 2738 2824 2960 3530 4107 4236 4440 5295 5476 5648 6845 7060 8214 8472 8880 10590 10952 13061 13690 14120 16428 16944 20535 21180 21904 26122 27380 28240 32856 39183 41070 42360 52244 54760 65305 65712 78366 82140 84720 104488 109520 130610 156732 164280 195915 208976 261220 313464 328560 391830 483257 522440 626928 783660 966514 1044880 1449771 1567320 1933028 2416285 2899542 3134640 3866056 4832570 5799084 7248855 7732112 9665140 11598168 14497710 19330280 23196336 28995420 38660560 57990840 115981680