Search a number
-
+
143719920 = 243557393
BaseRepresentation
bin10001001000011…
…11110111110000
3101000102201200000
420210033313300
5243243014140
622132230000
73363412341
oct1044176760
9330381600
10143719920
11741429a3
124016b300
1323a10596
14151320c8
15c93da30
hex890fdf0

143719920 has 120 divisors (see below), whose sum is σ = 500603376. Its totient is φ = 38320128.

The previous prime is 143719859. The next prime is 143719943. The reversal of 143719920 is 29917341.

143719920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15744 + ... + 23136.

Almost surely, 2143719920 is an apocalyptic number.

143719920 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 143719920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250301688).

143719920 is an abundant number, since it is smaller than the sum of its proper divisors (356883456).

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

143719920 is an equidigital number, since it uses as much as digits as its factorization.

143719920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 143719920 is about 11988.3243199373. The cubic root of 143719920 is about 523.8082354842.

The spelling of 143719920 in words is "one hundred forty-three million, seven hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 7393 9720 14786 19440 22179 29572 36965 44358 59144 66537 73930 88716 110895 118288 133074 147860 177432 199611 221790 266148 295720 332685 354864 399222 443580 532296 591440 598833 665370 798444 887160 998055 1064592 1197666 1330740 1596888 1774320 1796499 1996110 2395332 2661480 2994165 3193776 3592998 3992220 4790664 5322960 5988330 7185996 7984440 8982495 9581328 11976660 14371992 15968880 17964990 23953320 28743984 35929980 47906640 71859960 143719920