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20153376 = 25321929127
BaseRepresentation
bin100110011100…
…0010000100000
31101220220020100
41030320100200
520124402001
61555542400
7333205125
oct114702040
941826210
1020153376
1110415591
1268baa00
134238199
14296874c
151b81586
hex1338420

20153376 has 144 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6096384.

The previous prime is 20153351. The next prime is 20153377. The reversal of 20153376 is 67335102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20153377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158625 + ... + 158751.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 220153376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20153376 is an abundant number, since it is smaller than the sum of its proper divisors (42745824).

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

20153376 is a wasteful number, since it uses less digits than its factorization.

20153376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 20153376 is about 4489.2511624992. The cubic root of 20153376 is about 272.1338729693.

Adding to 20153376 its reverse (67335102), we get a palindrome (87488478).

The spelling of 20153376 in words is "twenty million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 127 144 152 171 174 228 232 254 261 288 304 342 348 381 456 464 508 522 551 608 684 696 762 912 928 1016 1044 1102 1143 1368 1392 1524 1653 1824 2032 2088 2204 2286 2413 2736 2784 3048 3306 3683 4064 4176 4408 4572 4826 4959 5472 6096 6612 7239 7366 8352 8816 9144 9652 9918 11049 12192 13224 14478 14732 17632 18288 19304 19836 21717 22098 26448 28956 29464 33147 36576 38608 39672 43434 44196 52896 57912 58928 66294 69977 77216 79344 86868 88392 115824 117856 132588 139954 158688 173736 176784 209931 231648 265176 279908 347472 353568 419862 530352 559816 629793 694944 839724 1060704 1119632 1259586 1679448 2239264 2519172 3358896 5038344 6717792 10076688 20153376