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30823980 = 22351146703
BaseRepresentation
bin111010110010…
…1011000101100
32011000000112220
41311211120230
530342331410
63020355340
7522666555
oct165453054
964000486
1030823980
1116443570
12a3a5b50
136503055
14414532c
152a8d070
hex1d6562c

30823980 has 48 divisors (see below), whose sum is σ = 94155264. Its totient is φ = 7472320.

The previous prime is 30823973. The next prime is 30823987. The reversal of 30823980 is 8932803.

It is an interprime number because it is at equal distance from previous prime (30823973) and next prime (30823987).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30823987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22692 + ... + 24011.

It is an arithmetic number, because the mean of its divisors is an integer number (1961568).

Almost surely, 230823980 is an apocalyptic number.

30823980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30823980 is an abundant number, since it is smaller than the sum of its proper divisors (63331284).

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

30823980 is a wasteful number, since it uses less digits than its factorization.

30823980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46726 (or 46724 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 30823980 is about 5551.9347978880. The cubic root of 30823980 is about 313.5423709485.

The spelling of 30823980 in words is "thirty million, eight hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 46703 93406 140109 186812 233515 280218 467030 513733 560436 700545 934060 1027466 1401090 1541199 2054932 2568665 2802180 3082398 5137330 6164796 7705995 10274660 15411990 30823980