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25068120 = 23357112713
BaseRepresentation
bin101111110100…
…0001001011000
31202011120222220
41133220021120
522404134440
62253144040
7423034620
oct137501130
952146886
1025068120
1113172060
12848b020
13526920c
143487880
1523028d0
hex17e8258

25068120 has 128 divisors (see below), whose sum is σ = 93795840. Its totient is φ = 5207040.

The previous prime is 25068103. The next prime is 25068143. The reversal of 25068120 is 2186052.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7884 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (732780).

Almost surely, 225068120 is an apocalyptic number.

25068120 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 25068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46897920).

25068120 is an abundant number, since it is smaller than the sum of its proper divisors (68727720).

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

25068120 is a wasteful number, since it uses less digits than its factorization.

25068120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 25068120 is about 5006.8073659768. The cubic root of 25068120 is about 292.6671117539.

The spelling of 25068120 in words is "twenty-five million, sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 2713 3080 4620 5426 8139 9240 10852 13565 16278 18991 21704 27130 29843 32556 37982 40695 54260 56973 59686 65112 75964 81390 89529 94955 108520 113946 119372 149215 151928 162780 179058 189910 208901 227892 238744 284865 298430 325560 358116 379820 417802 447645 455784 569730 596860 626703 716232 759640 835604 895290 1044505 1139460 1193720 1253406 1671208 1790580 2089010 2278920 2506812 3133515 3581160 4178020 5013624 6267030 8356040 12534060 25068120