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19730480 = 2457113203
BaseRepresentation
bin100101101000…
…1000000110000
31101010102010112
41023101000300
520022333410
61542520452
7326464160
oct113210060
941112115
1019730480
1110156890
126736128
13411a853
1428985a0
151aeb105
hex12d1030

19730480 has 80 divisors (see below), whose sum is σ = 57210624. Its totient is φ = 6147840.

The previous prime is 19730467. The next prime is 19730483. The reversal of 19730480 is 8403791.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (19730483) 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, 4559 + ... + 7761.

Almost surely, 219730480 is an apocalyptic number.

19730480 is a gapful number since it is divisible by the number (10) 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 19730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605312).

19730480 is an abundant number, since it is smaller than the sum of its proper divisors (37480144).

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

19730480 is a wasteful number, since it uses less digits than its factorization.

19730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 19730480 is about 4441.9004941579. The cubic root of 19730480 is about 270.2169267191.

The spelling of 19730480 in words is "nineteen million, seven hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3203 6160 6406 12812 16015 22421 25624 32030 35233 44842 51248 64060 70466 89684 112105 128120 140932 176165 179368 224210 246631 256240 281864 352330 358736 448420 493262 563728 704660 896840 986524 1233155 1409320 1793680 1973048 2466310 2818640 3946096 4932620 9865240 19730480