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140132640 = 25352910067
BaseRepresentation
bin10000101101001…
…00000100100000
3100202200110211210
420112210010200
5241333221030
621523310120
73321051654
oct1026440440
9322613753
10140132640
11721127aa
123ab1b340
132305582b
141487aa64
15c480bb0
hex85a4120

140132640 has 96 divisors (see below), whose sum is σ = 456684480. Its totient is φ = 36076544.

The previous prime is 140132639. The next prime is 140132647. The reversal of 140132640 is 46231041.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (140132647) 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, 8887 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (4757130).

Almost surely, 2140132640 is an apocalyptic number.

140132640 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 140132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228342240).

140132640 is an abundant number, since it is smaller than the sum of its proper divisors (316551840).

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

140132640 is a wasteful number, since it uses less digits than its factorization.

140132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 140132640 is about 11837.7633022459. The cubic root of 140132640 is about 519.4133423336.

Adding to 140132640 its reverse (46231041), we get a palindrome (186363681).

It can be divided in two parts, 14013 and 2640, that added together give a triangular number (16653 = T182).

The spelling of 140132640 in words is "one hundred forty million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 10067 13920 20134 30201 40268 50335 60402 80536 100670 120804 151005 161072 201340 241608 291943 302010 322144 402680 483216 583886 604020 805360 875829 966432 1167772 1208040 1459715 1610720 1751658 2335544 2416080 2919430 3503316 4379145 4671088 4832160 5838860 7006632 8758290 9342176 11677720 14013264 17516580 23355440 28026528 35033160 46710880 70066320 140132640