Search a number
-
+
1231401440 = 25537792633
BaseRepresentation
bin100100101100101…
…1011000111100000
310011211002200012202
41021121123013200
510010214321230
6322105112332
742341511443
oct11131330740
93154080182
101231401440
11582104145
122a44886a8
1316816a309
14b978565a
157318ea45
hex4965b1e0

1231401440 has 96 divisors (see below), whose sum is σ = 3026782080. Its totient is φ = 473001984.

The previous prime is 1231401407. The next prime is 1231401467. The reversal of 1231401440 is 441041321.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 466364 + ... + 468996.

It is an arithmetic number, because the mean of its divisors is an integer number (31528980).

Almost surely, 21231401440 is an apocalyptic number.

1231401440 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 1231401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513391040).

1231401440 is an abundant number, since it is smaller than the sum of its proper divisors (1795380640).

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

1231401440 is a wasteful number, since it uses less digits than its factorization.

1231401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1231401440 is about 35091.3299833449. The cubic root of 1231401440 is about 1071.8480422463.

Adding to 1231401440 its reverse (441041321), we get a palindrome (1672442761).

The spelling of 1231401440 in words is "one billion, two hundred thirty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 79 80 148 158 160 185 296 316 370 395 592 632 740 790 1184 1264 1480 1580 2528 2633 2923 2960 3160 5266 5846 5920 6320 10532 11692 12640 13165 14615 21064 23384 26330 29230 42128 46768 52660 58460 84256 93536 97421 105320 116920 194842 208007 210640 233840 389684 416014 421280 467680 487105 779368 832028 974210 1040035 1558736 1664056 1948420 2080070 3117472 3328112 3896840 4160140 6656224 7696259 7793680 8320280 15392518 15587360 16640560 30785036 33281120 38481295 61570072 76962590 123140144 153925180 246280288 307850360 615700720 1231401440