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20152704 = 2731113367
BaseRepresentation
bin100110011100…
…0000110000000
31101220212022110
41030320012000
520124341304
61555535320
7333203145
oct114700600
941825273
1020152704
1110415030
1268ba540
134237aa0
1429683cc
151b81289
hex1338180

20152704 has 128 divisors (see below), whose sum is σ = 63060480. Its totient is φ = 5621760.

The previous prime is 20152703. The next prime is 20152739. The reversal of 20152704 is 40725102.

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

It is a super-2 number, since 2×201527042 = 812262957023232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152703) 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, 54729 + ... + 55095.

It is an arithmetic number, because the mean of its divisors is an integer number (492660).

Almost surely, 220152704 is an apocalyptic number.

20152704 is a gapful number since it is divisible by the number (24) 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 20152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31530240).

20152704 is an abundant number, since it is smaller than the sum of its proper divisors (42907776).

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

20152704 is a wasteful number, since it uses less digits than its factorization.

20152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20152704 is about 4489.1763164304. The cubic root of 20152704 is about 272.1308482321.

Adding to 20152704 its reverse (40725102), we get a palindrome (60877806).

The spelling of 20152704 in words is "twenty million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 367 384 416 429 528 572 624 704 734 832 858 1056 1101 1144 1248 1408 1468 1664 1716 2112 2202 2288 2496 2936 3432 4037 4224 4404 4576 4771 4992 5872 6864 8074 8808 9152 9542 11744 12111 13728 14313 16148 17616 18304 19084 23488 24222 27456 28626 32296 35232 38168 46976 48444 52481 54912 57252 64592 70464 76336 96888 104962 114504 129184 140928 152672 157443 193776 209924 229008 258368 305344 314886 387552 419848 458016 516736 610688 629772 775104 839696 916032 1259544 1550208 1679392 1832064 2519088 3358784 5038176 6717568 10076352 20152704