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30937780 = 22529411301
BaseRepresentation
bin111011000000…
…1001010110100
32011012210122201
41312001022310
530410002110
63023034244
7523652416
oct166011264
964183581
1030937780
1116511015
12a43b984
136542aa3
1441749b6
152ab1b3a
hex1d812b4

30937780 has 48 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 11648000.

The previous prime is 30937759. The next prime is 30937789. The reversal of 30937780 is 8773903.

It can be written as a sum of positive squares in 8 ways, for example, as 13264164 + 17673616 = 3642^2 + 4204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30937789) by changing a digit.

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, 23130 + ... + 24430.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 230937780 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 30937780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

30937780 is an abundant number, since it is smaller than the sum of its proper divisors (37964060).

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

30937780 is a wasteful number, since it uses less digits than its factorization.

30937780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 30937780 is about 5562.1740353930. The cubic root of 30937780 is about 313.9277559735.

The spelling of 30937780 in words is "thirty million, nine hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 1301 2378 2602 4756 5204 5945 6505 11890 13010 23780 26020 37729 53341 75458 106682 150916 188645 213364 266705 377290 533410 754580 1066820 1546889 3093778 6187556 7734445 15468890 30937780