Search a number
-
+
127423840 = 2551779593
BaseRepresentation
bin1111001100001…
…01010101100000
322212202210122111
413212011111200
5230110030330
620351045104
73105041035
oct746052540
9285683574
10127423840
1165a22465
1236810794
132052602b
1412ccd38c
15b2c032a
hex7985560

127423840 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 47284224.

The previous prime is 127423787. The next prime is 127423847. The reversal of 127423840 is 48324721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127423847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214584 + ... + 215176.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2127423840 is an apocalyptic number.

127423840 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 127423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

127423840 is an abundant number, since it is smaller than the sum of its proper divisors (195902240).

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

127423840 is a wasteful number, since it uses less digits than its factorization.

127423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 127423840 is about 11288.2168653867. The cubic root of 127423840 is about 503.2111199365.

The spelling of 127423840 in words is "one hundred twenty-seven million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 79 80 85 136 158 160 170 272 316 340 395 544 593 632 680 790 1186 1264 1343 1360 1580 2372 2528 2686 2720 2965 3160 4744 5372 5930 6320 6715 9488 10081 10744 11860 12640 13430 18976 20162 21488 23720 26860 40324 42976 46847 47440 50405 53720 80648 93694 94880 100810 107440 161296 187388 201620 214880 234235 322592 374776 403240 468470 749552 796399 806480 936940 1499104 1592798 1612960 1873880 3185596 3747760 3981995 6371192 7495520 7963990 12742384 15927980 25484768 31855960 63711920 127423840