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30691680 = 2535431487
BaseRepresentation
bin111010100010…
…1000101100000
32010202022001220
41311011011200
530324113210
63013455040
7521606055
oct165050540
963668056
1030691680
1116363128
12a341480
136487a76
14410d02c
152a63c70
hex1d45160

30691680 has 96 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 7988736.

The previous prime is 30691679. The next prime is 30691691. The reversal of 30691680 is 8619603.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19897 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 230691680 is an apocalyptic number.

30691680 is a gapful number since it is divisible by the number (30) 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 30691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

30691680 is an abundant number, since it is smaller than the sum of its proper divisors (68301984).

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

30691680 is a wasteful number, since it uses less digits than its factorization.

30691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30691680 is about 5540.0072202119. The cubic root of 30691680 is about 313.0931412083.

The spelling of 30691680 in words is "thirty million, six hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1487 1720 2064 2580 2974 3440 4128 4461 5160 5948 6880 7435 8922 10320 11896 14870 17844 20640 22305 23792 29740 35688 44610 47584 59480 63941 71376 89220 118960 127882 142752 178440 191823 237920 255764 319705 356880 383646 511528 639410 713760 767292 959115 1023056 1278820 1534584 1918230 2046112 2557640 3069168 3836460 5115280 6138336 7672920 10230560 15345840 30691680