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30950080 = 265741337
BaseRepresentation
bin111011000010…
…0001011000000
32011020102112021
41312010023000
530410400310
63023211224
7524033320
oct166041300
964212467
1030950080
111651a287
12a446b14
136548575
144179280
152ab55da
hex1d842c0

30950080 has 112 divisors (see below), whose sum is σ = 86538816. Its totient is φ = 10321920.

The previous prime is 30950063. The next prime is 30950083. The reversal of 30950080 is 8005903.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (30950083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91672 + ... + 92008.

It is an arithmetic number, because the mean of its divisors is an integer number (772668).

Almost surely, 230950080 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 30950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43269408).

30950080 is an abundant number, since it is smaller than the sum of its proper divisors (55588736).

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

30950080 is a wasteful number, since it uses less digits than its factorization.

30950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 30950080 is about 5563.2796082886. The cubic root of 30950080 is about 313.9693534399.

Adding to 30950080 its reverse (8005903), we get a palindrome (38955983).

The spelling of 30950080 in words is "thirty million, nine hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 280 287 320 328 337 410 448 560 574 656 674 820 1120 1148 1312 1348 1435 1640 1685 2240 2296 2359 2624 2696 2870 3280 3370 4592 4718 5392 5740 6560 6740 9184 9436 10784 11480 11795 13120 13480 13817 18368 18872 21568 22960 23590 26960 27634 37744 45920 47180 53920 55268 69085 75488 91840 94360 96719 107840 110536 138170 150976 188720 193438 221072 276340 377440 386876 442144 483595 552680 754880 773752 884288 967190 1105360 1547504 1934380 2210720 3095008 3868760 4421440 6190016 7737520 15475040 30950080