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15253420 = 22571317229
BaseRepresentation
bin111010001011…
…111110101100
31001200221202111
4322023332230
512401102140
61302533404
7243436420
oct72137654
931627674
1015253420
118679136
125137264
133210ac0
142050b80
1515147ea
hexe8bfac

15253420 has 144 divisors (see below), whose sum is σ = 43323840. Its totient is φ = 4386816.

The previous prime is 15253397. The next prime is 15253463. The reversal of 15253420 is 2435251.

It is a junction number, because it is equal to n+sod(n) for n = 15253391 and 15253400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525966 + ... + 525994.

It is an arithmetic number, because the mean of its divisors is an integer number (300860).

Almost surely, 215253420 is an apocalyptic number.

15253420 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 15253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661920).

15253420 is an abundant number, since it is smaller than the sum of its proper divisors (28070420).

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

15253420 is a wasteful number, since it uses less digits than its factorization.

15253420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 15253420 is about 3905.5626995351. The cubic root of 15253420 is about 248.0023196106.

Adding to 15253420 its reverse (2435251), we get a palindrome (17688671).

The spelling of 15253420 in words is "fifteen million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 29 34 35 52 58 65 68 70 85 91 116 119 130 140 145 170 182 203 221 238 260 289 290 340 364 377 406 442 455 476 493 578 580 595 754 812 884 910 986 1015 1105 1156 1190 1445 1508 1547 1820 1885 1972 2023 2030 2210 2380 2465 2639 2890 3094 3451 3757 3770 4046 4060 4420 4930 5278 5780 6188 6409 6902 7514 7540 7735 8092 8381 9860 10115 10556 12818 13195 13804 15028 15470 16762 17255 18785 20230 25636 26299 26390 30940 32045 33524 34510 37570 40460 41905 44863 52598 52780 58667 64090 69020 75140 83810 89726 105196 108953 117334 128180 131495 167620 179452 217906 224315 234668 262990 293335 435812 448630 525980 544765 586670 762671 897260 1089530 1173340 1525342 2179060 3050684 3813355 7626710 15253420