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30809940 = 22357109673
BaseRepresentation
bin111010110000…
…1111101010100
32010222022021220
41311201331110
530341404230
63020210340
7522610620
oct165417524
963868256
1030809940
1116433a67
12a3999b0
1364c9845
144140180
152a88d10
hex1d61f54

30809940 has 96 divisors (see below), whose sum is σ = 99644160. Its totient is φ = 6967296.

The previous prime is 30809923. The next prime is 30809951. The reversal of 30809940 is 4990803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45444 + ... + 46116.

It is an arithmetic number, because the mean of its divisors is an integer number (1037960).

Almost surely, 230809940 is an apocalyptic number.

30809940 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 30809940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49822080).

30809940 is an abundant number, since it is smaller than the sum of its proper divisors (68834220).

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

30809940 is a wasteful number, since it uses less digits than its factorization.

30809940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

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

The square root of 30809940 is about 5550.6702298011. The cubic root of 30809940 is about 313.4947586302.

The spelling of 30809940 in words is "thirty million, eight hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 673 763 1090 1308 1346 1526 1635 2019 2180 2289 2692 3052 3270 3365 3815 4038 4578 4711 6540 6730 7630 8076 9156 9422 10095 11445 13460 14133 15260 18844 20190 22890 23555 28266 40380 45780 47110 56532 70665 73357 94220 141330 146714 220071 282660 293428 366785 440142 513499 733570 880284 1026998 1100355 1467140 1540497 2053996 2200710 2567495 3080994 4401420 5134990 6161988 7702485 10269980 15404970 30809940