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30697680 = 2435139839
BaseRepresentation
bin111010100011…
…0100011010000
32010202121022010
41311012203100
530324311210
63013542520
7521632416
oct165064320
963677263
1030697680
1116367692
12a344a40
13648a710
1441112b6
152a65920
hex1d468d0

30697680 has 80 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 7555584.

The previous prime is 30697669. The next prime is 30697697. The reversal of 30697680 is 8679603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1800 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 230697680 is an apocalyptic number.

30697680 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 30697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

30697680 is an abundant number, since it is smaller than the sum of its proper divisors (71795760).

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

30697680 is a wasteful number, since it uses less digits than its factorization.

30697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 30697680 is about 5540.5487092886. The cubic root of 30697680 is about 313.1135423555.

The spelling of 30697680 in words is "thirty million, six hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9839 19678 29517 39356 49195 59034 78712 98390 118068 127907 147585 157424 196780 236136 255814 295170 383721 393560 472272 511628 590340 639535 767442 787120 1023256 1180680 1279070 1534884 1918605 2046512 2361360 2558140 3069768 3837210 5116280 6139536 7674420 10232560 15348840 30697680