Search a number
-
+
143928480 = 25352313037
BaseRepresentation
bin10001001010000…
…10110010100000
3101000211022202110
420211002302200
5243321202410
622140515320
73365241363
oct1045026240
9330738673
10143928480
1174275663
124024bb40
1323a844a7
14151880da
15c980720
hex8942ca0

143928480 has 96 divisors (see below), whose sum is σ = 473122944. Its totient is φ = 36709376.

The previous prime is 143928469. The next prime is 143928497. The reversal of 143928480 is 84829341.

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

It is a super-2 number, since 2×1439284802 = 41430814710220800, which contains 22 as substring.

It is a congruent number.

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, 4522 + ... + 17558.

It is an arithmetic number, because the mean of its divisors is an integer number (4928364).

Almost surely, 2143928480 is an apocalyptic number.

143928480 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 143928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236561472).

143928480 is an abundant number, since it is smaller than the sum of its proper divisors (329194464).

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

143928480 is a wasteful number, since it uses less digits than its factorization.

143928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 143928480 is about 11997.0196298914. The cubic root of 143928480 is about 524.0614888121.

The spelling of 143928480 in words is "one hundred forty-three million, nine hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 13037 26074 39111 52148 65185 78222 104296 130370 156444 195555 208592 260740 299851 312888 391110 417184 521480 599702 625776 782220 899553 1042960 1199404 1251552 1499255 1564440 1799106 2085920 2398808 2998510 3128880 3598212 4497765 4797616 5997020 6257760 7196424 8995530 9595232 11994040 14392848 17991060 23988080 28785696 35982120 47976160 71964240 143928480