Search a number
-
+
140401872 = 243213179419
BaseRepresentation
bin10000101111001…
…01110011010000
3100210012011011100
420113211303100
5241420324442
621533144400
73323252622
oct1027456320
9323164140
10140401872
1172287006
123b02b100
132311b240
141490ac12
15c4d584c
hex85e5cd0

140401872 has 120 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 42856704.

The previous prime is 140401819. The next prime is 140401873. The reversal of 140401872 is 278104041.

It is a super-2 number, since 2×1404018722 = 39425371322208768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140401873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334879 + ... + 335297.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2140401872 is an apocalyptic number.

140401872 is a gapful number since it is divisible by the number (12) 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 140401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

140401872 is an abundant number, since it is smaller than the sum of its proper divisors (286133328).

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

140401872 is a wasteful number, since it uses less digits than its factorization.

140401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 140401872 is about 11849.1295882862. The cubic root of 140401872 is about 519.7457731652.

The spelling of 140401872 in words is "one hundred forty million, four hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 179 208 234 312 358 419 468 537 624 716 838 936 1074 1257 1432 1611 1676 1872 2148 2327 2514 2864 3222 3352 3771 4296 4654 5028 5447 6444 6704 6981 7542 8592 9308 10056 10894 12888 13962 15084 16341 18616 20112 20943 21788 25776 27924 30168 32682 37232 41886 43576 49023 55848 60336 65364 75001 83772 87152 98046 111696 130728 150002 167544 196092 225003 261456 300004 335088 392184 450006 600008 675009 784368 900012 975013 1200016 1350018 1800024 1950026 2700036 2925039 3600048 3900052 5400072 5850078 7800104 8775117 10800144 11700156 15600208 17550234 23400312 35100468 46800624 70200936 140401872