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20254100440 = 23573714913121
BaseRepresentation
bin10010110111001111…
…010000101111011000
31221021112122220112011
4102313033100233120
5312440022203230
613145443355304
71314626004340
oct226717205730
957245586464
1020254100440
118653a03492
123b13082b34
131baa224822
14da1d4bd20
157d820ee2a
hex4b73d0bd8

20254100440 has 128 divisors (see below), whose sum is σ = 53852688000. Its totient is φ = 6710722560.

The previous prime is 20254100437. The next prime is 20254100459. The reversal of 20254100440 is 4400145202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537080 + ... + 1550200.

It is an arithmetic number, because the mean of its divisors is an integer number (420724125).

Almost surely, 220254100440 is an apocalyptic number.

20254100440 is a gapful number since it is divisible by the number (20) 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 20254100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926344000).

20254100440 is an abundant number, since it is smaller than the sum of its proper divisors (33598587560).

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

20254100440 is a wasteful number, since it uses less digits than its factorization.

20254100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13325 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20254100440 its reverse (4400145202), we get a palindrome (24654245642).

The spelling of 20254100440 in words is "twenty billion, two hundred fifty-four million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 149 185 259 280 296 298 370 518 596 740 745 1036 1043 1192 1295 1480 1490 2072 2086 2590 2980 4172 5180 5215 5513 5960 8344 10360 10430 11026 13121 20860 22052 26242 27565 38591 41720 44104 52484 55130 65605 77182 91847 104968 110260 131210 154364 183694 192955 220520 262420 308728 367388 385910 459235 485477 524840 734776 771820 918470 970954 1543640 1836940 1941908 1955029 2427385 3398339 3673880 3883816 3910058 4854770 6796678 7820116 9709540 9775145 13593356 13685203 15640232 16991695 19419080 19550290 27186712 27370406 33983390 39100580 54740812 67966780 68426015 72336073 78201160 109481624 135933560 136852030 144672146 273704060 289344292 361680365 506352511 547408120 578688584 723360730 1012705022 1446721460 2025410044 2531762555 2893442920 4050820088 5063525110 10127050220 20254100440