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30285696 = 273719593
BaseRepresentation
bin111001110000…
…1111110000000
32002222200011110
41303201332000
530223120241
63001043320
7515265330
oct163417600
962880143
1030285696
1116106101
12a186540
13637503c
1440450c0
1529d3816
hex1ce1f80

30285696 has 128 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 8183808.

The previous prime is 30285691. The next prime is 30285701. The reversal of 30285696 is 69658203.

It is an interprime number because it is at equal distance from previous prime (30285691) and next prime (30285701).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×302856963 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30285691) 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, 50776 + ... + 51368.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 230285696 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 30285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

30285696 is an abundant number, since it is smaller than the sum of its proper divisors (66655104).

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

30285696 is a wasteful number, since it uses less digits than its factorization.

30285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 30285696 is about 5503.2441341449. The cubic root of 30285696 is about 311.7064958424.

The spelling of 30285696 in words is "thirty million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 593 608 672 798 896 912 1064 1186 1216 1344 1596 1779 1824 2128 2372 2432 2688 3192 3558 3648 4151 4256 4744 6384 7116 7296 8302 8512 9488 11267 12453 12768 14232 16604 17024 18976 22534 24906 25536 28464 33208 33801 37952 45068 49812 51072 56928 66416 67602 75904 78869 90136 99624 113856 132832 135204 157738 180272 199248 227712 236607 265664 270408 315476 360544 398496 473214 531328 540816 630952 721088 796992 946428 1081632 1261904 1442176 1593984 1892856 2163264 2523808 3785712 4326528 5047616 7571424 10095232 15142848 30285696