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30196992 = 283741137
BaseRepresentation
bin111001100110…
…0010100000000
32002211011111010
41303030110000
530212300432
62555120520
7514445610
oct163142400
962734433
1030196992
11160554a1
12a143140
136343857
144020a40
1529b73cc
hex1ccc500

30196992 has 144 divisors (see below), whose sum is σ = 94776192. Its totient is φ = 8355840.

The previous prime is 30196979. The next prime is 30197003. The reversal of 30196992 is 29969103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30196992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220348 + ... + 220484.

It is an arithmetic number, because the mean of its divisors is an integer number (658168).

Almost surely, 230196992 is an apocalyptic number.

30196992 is a gapful number since it is divisible by the number (32) 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 30196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47388096).

30196992 is an abundant number, since it is smaller than the sum of its proper divisors (64579200).

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

30196992 is a wasteful number, since it uses less digits than its factorization.

30196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 30196992 is about 5495.1789779770. The cubic root of 30196992 is about 311.4018784261.

It can be divided in two parts, 3019 and 6992, that added together give a triangular number (10011 = T141).

The spelling of 30196992 in words is "thirty million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 137 164 168 192 224 246 256 274 287 328 336 384 411 448 492 548 574 656 672 768 822 861 896 959 984 1096 1148 1312 1344 1644 1722 1792 1918 1968 2192 2296 2624 2688 2877 3288 3444 3836 3936 4384 4592 5248 5376 5617 5754 6576 6888 7672 7872 8768 9184 10496 11234 11508 13152 13776 15344 15744 16851 17536 18368 22468 23016 26304 27552 30688 31488 33702 35072 36736 39319 44936 46032 52608 55104 61376 67404 73472 78638 89872 92064 105216 110208 117957 122752 134808 157276 179744 184128 220416 235914 245504 269616 314552 359488 368256 471828 539232 629104 718976 736512 943656 1078464 1258208 1437952 1887312 2156928 2516416 3774624 4313856 5032832 7549248 10065664 15098496 30196992