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20054424 = 233131719199
BaseRepresentation
bin100110010000…
…0000110011000
31101201212111110
41030200012120
520113220144
61553500320
7332313465
oct114400630
941655443
1020054424
1110358205
1268716a0
134202130
14294066c
151b620b9
hex1320198

20054424 has 128 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 5474304.

The previous prime is 20054417. The next prime is 20054431. The reversal of 20054424 is 42445002.

It is an interprime number because it is at equal distance from previous prime (20054417) and next prime (20054431).

It is a self number, because there is not a number n which added to its sum of digits gives 20054424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100677 + ... + 100875.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 220054424 is an apocalyptic number.

20054424 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 20054424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

20054424 is an abundant number, since it is smaller than the sum of its proper divisors (40425576).

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

20054424 is a wasteful number, since it uses less digits than its factorization.

20054424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 20054424 is about 4478.2166093212. The cubic root of 20054424 is about 271.6877544363.

Adding to 20054424 its reverse (42445002), we get a palindrome (62499426).

The spelling of 20054424 in words is "twenty million, fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 199 204 221 228 247 312 323 398 408 442 456 494 597 646 663 741 796 884 969 988 1194 1292 1326 1482 1592 1768 1938 1976 2388 2584 2587 2652 2964 3383 3781 3876 4199 4776 5174 5304 5928 6766 7562 7752 7761 8398 10149 10348 11343 12597 13532 15124 15522 16796 20298 20696 22686 25194 27064 30248 31044 33592 40596 43979 45372 49153 50388 62088 64277 81192 87958 90744 98306 100776 128554 131937 147459 175916 192831 196612 257108 263874 294918 351832 385662 393224 514216 527748 589836 771324 835601 1055496 1179672 1542648 1671202 2506803 3342404 5013606 6684808 10027212 20054424