Search a number
-
+
12127440 = 243513323
BaseRepresentation
bin101110010000…
…110011010000
3211211010201110
4232100303100
511101034230
61111533320
7205036653
oct56206320
924733643
1012127440
116933586
12408a240
132688000
14187989a
1510e84b0
hexb90cd0

12127440 has 160 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 2855424.

The previous prime is 12127433. The next prime is 12127447. The reversal of 12127440 is 4472121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12127433) and next prime (12127447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127447) 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, 527269 + ... + 527291.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 212127440 is an apocalyptic number.

12127440 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 12127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

12127440 is an abundant number, since it is smaller than the sum of its proper divisors (30369840).

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

12127440 is a wasteful number, since it uses less digits than its factorization.

12127440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12127440 is about 3482.4474152527. The cubic root of 12127440 is about 229.7504539825.

Adding to 12127440 its reverse (4472121), we get a palindrome (16599561).

The spelling of 12127440 in words is "twelve million, one hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 169 184 195 208 230 240 260 276 299 312 338 345 368 390 460 507 520 552 598 624 676 690 780 845 897 920 1014 1040 1104 1196 1352 1380 1495 1560 1690 1794 1840 2028 2197 2392 2535 2704 2760 2990 3120 3380 3588 3887 4056 4394 4485 4784 5070 5520 5980 6591 6760 7176 7774 8112 8788 8970 10140 10985 11661 11960 13182 13520 14352 15548 17576 17940 19435 20280 21970 23322 23920 26364 31096 32955 35152 35880 38870 40560 43940 46644 50531 52728 58305 62192 65910 71760 77740 87880 93288 101062 105456 116610 131820 151593 155480 175760 186576 202124 233220 252655 263640 303186 310960 404248 466440 505310 527280 606372 757965 808496 932880 1010620 1212744 1515930 2021240 2425488 3031860 4042480 6063720 12127440