Search a number
-
+
141522320 = 2452961001
BaseRepresentation
bin10000110111101…
…11010110010000
3100212022002010102
420123313112100
5242212203240
622013151532
73335630342
oct1033672620
9325262112
10141522320
11729818a5
123b48b5a8
1323421224
1414b1d292
15c657815
hex86f7590

141522320 has 40 divisors (see below), whose sum is σ = 340391160. Its totient is φ = 54656000.

The previous prime is 141522319. The next prime is 141522341. The reversal of 141522320 is 23225141.

141522320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 118635664 = 4784^2 + 10892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141522292 and 141522301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28181 + ... + 32820.

It is an arithmetic number, because the mean of its divisors is an integer number (8509779).

Almost surely, 2141522320 is an apocalyptic number.

141522320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141522320 is an abundant number, since it is smaller than the sum of its proper divisors (198868840).

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

141522320 is a wasteful number, since it uses less digits than its factorization.

141522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61043 (or 61037 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 141522320 is about 11896.3153959535. The cubic root of 141522320 is about 521.1246860260.

Adding to 141522320 its reverse (23225141), we get a palindrome (164747461).

The spelling of 141522320 in words is "one hundred forty-one million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 61001 122002 244004 305005 488008 610010 976016 1220020 1769029 2440040 3538058 4880080 7076116 8845145 14152232 17690290 28304464 35380580 70761160 141522320