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30760416 = 2532292127
BaseRepresentation
bin111010101010…
…1110111100000
32010212210100200
41311111313200
530333313131
63015145200
7522313341
oct165256740
963783320
1030760416
11163aa835
12a375200
1364b013b
14412a0c8
152a792e6
hex1d55de0

30760416 has 108 divisors (see below), whose sum is σ = 91308672. Its totient is φ = 9821952.

The previous prime is 30760403. The next prime is 30760421. The reversal of 30760416 is 61406703.

It is a self number, because there is not a number n which added to its sum of digits gives 30760416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242145 + ... + 242271.

Almost surely, 230760416 is an apocalyptic number.

30760416 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 30760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45654336).

30760416 is an abundant number, since it is smaller than the sum of its proper divisors (60548256).

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

30760416 is a wasteful number, since it uses less digits than its factorization.

30760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30760416 is about 5546.2073527772. The cubic root of 30760416 is about 313.3266977117.

The spelling of 30760416 in words is "thirty million, seven hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 127 144 174 232 254 261 288 348 381 464 508 522 696 762 841 928 1016 1044 1143 1392 1524 1682 2032 2088 2286 2523 2784 3048 3364 3683 4064 4176 4572 5046 6096 6728 7366 7569 8352 9144 10092 11049 12192 13456 14732 15138 18288 20184 22098 26912 29464 30276 33147 36576 40368 44196 58928 60552 66294 80736 88392 106807 117856 121104 132588 176784 213614 242208 265176 320421 353568 427228 530352 640842 854456 961263 1060704 1281684 1708912 1922526 2563368 3417824 3845052 5126736 7690104 10253472 15380208 30760416