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12253780 = 22571173109
BaseRepresentation
bin101110101111…
…101001010100
3212001120000201
4232233221110
511114110110
61114350244
7206104210
oct56575124
925046021
1012253780
116a0a4a0
12412b384
132700676
1418ad940
151120b3a
hexbafa54

12253780 has 96 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 3732480.

The previous prime is 12253777. The next prime is 12253783. The reversal of 12253780 is 8735221.

12253780 = 4402 + 4412 + ... + 4952.

It is an interprime number because it is at equal distance from previous prime (12253777) and next prime (12253783).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112366 + ... + 112474.

It is an arithmetic number, because the mean of its divisors is an integer number (341880).

Almost surely, 212253780 is an apocalyptic number.

12253780 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 12253780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).

12253780 is an abundant number, since it is smaller than the sum of its proper divisors (20566700).

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

12253780 is a wasteful number, since it uses less digits than its factorization.

12253780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 12253780 is about 3500.5399583493. The cubic root of 12253780 is about 230.5455229797.

It can be divided in two parts, 1225 and 3780, that added together give a palindrome (5005).

The spelling of 12253780 in words is "twelve million, two hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 109 110 140 146 154 218 220 292 308 365 385 436 511 545 730 763 770 803 1022 1090 1199 1460 1526 1540 1606 2044 2180 2398 2555 3052 3212 3815 4015 4796 5110 5621 5995 7630 7957 8030 8393 10220 11242 11990 15260 15914 16060 16786 22484 23980 28105 31828 33572 39785 41965 55699 56210 79570 83930 87527 111398 112420 159140 167860 175054 222796 278495 350108 437635 556990 612689 875270 1113980 1225378 1750540 2450756 3063445 6126890 12253780