Search a number
-
+
140003400 = 233521912281
BaseRepresentation
bin10000101100001…
…00100001001000
3100202102220120010
420112010201020
5241320102100
621520431520
73320003115
oct1026044110
9322386503
10140003400
1172034699
123aa785a0
132300ba64
141484590c
15c457750
hex8584848

140003400 has 96 divisors (see below), whose sum is σ = 456890400. Its totient is φ = 35366400.

The previous prime is 140003393. The next prime is 140003429. The reversal of 140003400 is 4300041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5260 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (4759275).

Almost surely, 2140003400 is an apocalyptic number.

140003400 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 140003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228445200).

140003400 is an abundant number, since it is smaller than the sum of its proper divisors (316887000).

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

140003400 is a wasteful number, since it uses less digits than its factorization.

140003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 140003400 is about 11832.3032415502. The cubic root of 140003400 is about 519.2536135987.

Adding to 140003400 its reverse (4300041), we get a palindrome (144303441).

The spelling of 140003400 in words is "one hundred forty million, three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 12281 24562 36843 49124 61405 73686 98248 122810 147372 184215 233339 245620 294744 307025 368430 466678 491240 614050 700017 736860 921075 933356 1166695 1228100 1400034 1473720 1842150 1866712 2333390 2456200 2800068 3500085 3684300 4666780 5600136 5833475 7000170 7368600 9333560 11666950 14000340 17500425 23333900 28000680 35000850 46667800 70001700 140003400