Search a number
-
+
140589120 = 2635720921
BaseRepresentation
bin10000110000100…
…11100001000000
3100210112200000110
420120103201000
5241442322440
621541151320
73324662550
oct1030234100
9323480013
10140589120
11723a4761
123b0bb540
1323185539
1414959160
15c521080
hex8613840

140589120 has 112 divisors (see below), whose sum is σ = 510162048. Its totient is φ = 32133120.

The previous prime is 140589107. The next prime is 140589139. The reversal of 140589120 is 21985041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3741 + ... + 17180.

Almost surely, 2140589120 is an apocalyptic number.

140589120 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 140589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255081024).

140589120 is an abundant number, since it is smaller than the sum of its proper divisors (369572928).

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

140589120 is a wasteful number, since it uses less digits than its factorization.

140589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20948 (or 20938 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 140589120 is about 11857.0282954879. The cubic root of 140589120 is about 519.9767247965.

It can be divided in two parts, 1405 and 89120, that added together give a triangular number (90525 = T425).

The spelling of 140589120 in words is "one hundred forty million, five hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 20921 41842 62763 83684 104605 125526 146447 167368 209210 251052 292894 313815 334736 418420 439341 502104 585788 627630 669472 732235 836840 878682 1004208 1171576 1255260 1338944 1464470 1673680 1757364 2008416 2196705 2343152 2510520 2928940 3347360 3514728 4016832 4393410 4686304 5021040 5857880 6694720 7029456 8786820 9372608 10042080 11715760 14058912 17573640 20084160 23431520 28117824 35147280 46863040 70294560 140589120