Search a number
-
+
141580400 = 245213191433
BaseRepresentation
bin10000111000001…
…01100001110000
3100212102000210112
420130011201300
5242221033100
622014320452
73336261563
oct1034054160
9325360715
10141580400
1172a114a5
123b4b9128
13234417b0
1414b364da
15c669b35
hex8705870

141580400 has 120 divisors (see below), whose sum is σ = 385860720. Its totient is φ = 49489920.

The previous prime is 141580391. The next prime is 141580409. The reversal of 141580400 is 4085141.

It is an interprime number because it is at equal distance from previous prime (141580391) and next prime (141580409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141580409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98084 + ... + 99516.

It is an arithmetic number, because the mean of its divisors is an integer number (3215506).

Almost surely, 2141580400 is an apocalyptic number.

141580400 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 141580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192930360).

141580400 is an abundant number, since it is smaller than the sum of its proper divisors (244280320).

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

141580400 is a wasteful number, since it uses less digits than its factorization.

141580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 141580400 is about 11898.7562375233. The cubic root of 141580400 is about 521.1959652000.

The spelling of 141580400 in words is "one hundred forty-one million, five hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 130 152 190 200 208 247 260 304 325 380 400 475 494 520 650 760 950 988 1040 1235 1300 1433 1520 1900 1976 2470 2600 2866 3800 3952 4940 5200 5732 6175 7165 7600 9880 11464 12350 14330 18629 19760 22928 24700 27227 28660 35825 37258 49400 54454 57320 71650 74516 93145 98800 108908 114640 136135 143300 149032 186290 217816 272270 286600 298064 353951 372580 435632 465725 544540 573200 680675 707902 745160 931450 1089080 1361350 1415804 1490320 1769755 1862900 2178160 2722700 2831608 3539510 3725800 5445400 5663216 7079020 7451600 8848775 10890800 14158040 17697550 28316080 35395100 70790200 141580400