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30920820 = 2235783887
BaseRepresentation
bin111010111110…
…1000001110100
32011011221101120
41311331001310
530403431240
63022423540
7523552110
oct165750164
964157346
1030920820
11164aa2a7
12a431bb0
136538158
14416c740
152aabad0
hex1d7d074

30920820 has 96 divisors (see below), whose sum is σ = 100251648. Its totient is φ = 6974592.

The previous prime is 30920803. The next prime is 30920831. The reversal of 30920820 is 2802903.

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, 34417 + ... + 35303.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 230920820 is an apocalyptic number.

30920820 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 30920820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125824).

30920820 is an abundant number, since it is smaller than the sum of its proper divisors (69330828).

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

30920820 is a wasteful number, since it uses less digits than its factorization.

30920820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30920820 is about 5560.6492426694. The cubic root of 30920820 is about 313.8703807304.

The spelling of 30920820 in words is "thirty million, nine hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 887 996 1162 1245 1660 1743 1774 2324 2490 2661 2905 3486 3548 4435 4980 5322 5810 6209 6972 8715 8870 10644 11620 12418 13305 17430 17740 18627 24836 26610 31045 34860 37254 53220 62090 73621 74508 93135 124180 147242 186270 220863 294484 368105 372540 441726 515347 736210 883452 1030694 1104315 1472420 1546041 2061388 2208630 2576735 3092082 4417260 5153470 6184164 7730205 10306940 15460410 30920820