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30960930 = 235711131031
BaseRepresentation
bin111011000011…
…0110100100010
32011020222102010
41312012310202
530411222210
63023333350
7524110050
oct166066442
964228363
1030960930
1116527450
12a451256
1365504a0
14417d1d0
152ab8920
hex1d86d22

30960930 has 128 divisors (see below), whose sum is σ = 99864576. Its totient is φ = 5932800.

The previous prime is 30960929. The next prime is 30960931. The reversal of 30960930 is 3906903.

It is an interprime number because it is at equal distance from previous prime (30960929) and next prime (30960931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30960931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29515 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (780192).

Almost surely, 230960930 is an apocalyptic number.

30960930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30960930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49932288).

30960930 is an abundant number, since it is smaller than the sum of its proper divisors (68903646).

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

30960930 is a wasteful number, since it uses less digits than its factorization.

30960930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 30960930 is about 5564.2546670691. The cubic root of 30960930 is about 314.0060379923.

The spelling of 30960930 in words is "thirty million, nine hundred sixty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1031 1155 1365 1430 2002 2062 2145 2310 2730 3003 3093 4290 5005 5155 6006 6186 7217 10010 10310 11341 13403 14434 15015 15465 21651 22682 26806 30030 30930 34023 36085 40209 43302 56705 67015 68046 72170 79387 80418 93821 108255 113410 134030 147433 158774 170115 187642 201045 216510 238161 281463 294866 340230 396935 402090 442299 469105 476322 562926 737165 793870 884598 938210 1032031 1190805 1407315 1474330 2064062 2211495 2381610 2814630 3096093 4422990 5160155 6192186 10320310 15480465 30960930