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30237696 = 2103217193
BaseRepresentation
bin111001101011…
…0010000000000
32002220020022200
41303112100000
530220101241
63000033200
7515005356
oct163262000
962806280
1030237696
1116083035
12a162800
136359238
1440317d6
1529c44b6
hex1cd6400

30237696 has 132 divisors (see below), whose sum is σ = 92925612. Its totient is φ = 9437184.

The previous prime is 30237673. The next prime is 30237731. The reversal of 30237696 is 69673203.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 14745600 = 3936^2 + 3840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30237696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156576 + ... + 156768.

Almost surely, 230237696 is an apocalyptic number.

30237696 is a gapful number since it is divisible by the number (36) 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 30237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46462806).

30237696 is an abundant number, since it is smaller than the sum of its proper divisors (62687916).

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

30237696 is a wasteful number, since it uses less digits than its factorization.

30237696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 30237696 is about 5498.8813407820. The cubic root of 30237696 is about 311.5417335381.

The spelling of 30237696 in words is "thirty million, two hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 193 204 256 272 288 306 384 386 408 512 544 576 579 612 768 772 816 1024 1088 1152 1158 1224 1536 1544 1632 1737 2176 2304 2316 2448 3072 3088 3264 3281 3474 4352 4608 4632 4896 6176 6528 6562 6948 8704 9216 9264 9792 9843 12352 13056 13124 13896 17408 18528 19584 19686 24704 26112 26248 27792 29529 37056 39168 39372 49408 52224 52496 55584 59058 74112 78336 78744 98816 104992 111168 118116 148224 156672 157488 197632 209984 222336 236232 296448 314976 419968 444672 472464 592896 629952 839936 889344 944928 1259904 1679872 1778688 1889856 2519808 3359744 3779712 5039616 7559424 10079232 15118848 30237696