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12498240 = 263547277
BaseRepresentation
bin101111101011…
…010101000000
3212111222100210
4233223111000
511144420430
61123514120
7211143006
oct57532500
925458323
1012498240
117067127
124228940
132787a11
141934a76
15116d2b0
hexbeb540

12498240 has 112 divisors (see below), whose sum is σ = 40672512. Its totient is φ = 3250176.

The previous prime is 12498221. The next prime is 12498253. The reversal of 12498240 is 4289421.

12498240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12498198 and 12498207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44982 + ... + 45258.

Almost surely, 212498240 is an apocalyptic number.

12498240 is a gapful number since it is divisible by the number (10) 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 12498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336256).

12498240 is an abundant number, since it is smaller than the sum of its proper divisors (28174272).

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

12498240 is a wasteful number, since it uses less digits than its factorization.

12498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12498240 is about 3535.2849955838. The cubic root of 12498240 is about 232.0685489076.

The spelling of 12498240 in words is "twelve million, four hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 277 282 320 376 470 480 554 564 705 752 831 940 960 1108 1128 1385 1410 1504 1662 1880 2216 2256 2770 2820 3008 3324 3760 4155 4432 4512 5540 5640 6648 7520 8310 8864 9024 11080 11280 13019 13296 15040 16620 17728 22160 22560 26038 26592 33240 39057 44320 45120 52076 53184 65095 66480 78114 88640 104152 130190 132960 156228 195285 208304 260380 265920 312456 390570 416608 520760 624912 781140 833216 1041520 1249824 1562280 2083040 2499648 3124560 4166080 6249120 12498240