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141472320 = 26351113397
BaseRepresentation
bin10000110111010…
…11001001000000
3100212012112112120
420123223021000
5242204103240
622012124240
73335331513
oct1033531100
9325175476
10141472320
1172948280
123b466680
1323404542
1414b08d7a
15c647ad0
hex86eb240

141472320 has 112 divisors (see below), whose sum is σ = 490045248. Its totient is φ = 34293760.

The previous prime is 141472319. The next prime is 141472327. The reversal of 141472320 is 23274141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141472327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3862 + ... + 17258.

It is an arithmetic number, because the mean of its divisors is an integer number (4375404).

Almost surely, 2141472320 is an apocalyptic number.

141472320 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 141472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245022624).

141472320 is an abundant number, since it is smaller than the sum of its proper divisors (348572928).

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

141472320 is a wasteful number, since it uses less digits than its factorization.

141472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 141472320 is about 11894.2137192838. The cubic root of 141472320 is about 521.0633074781.

The spelling of 141472320 in words is "one hundred forty-one million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 13397 26794 40191 53588 66985 80382 107176 133970 147367 160764 200955 214352 267940 294734 321528 401910 428704 442101 535880 589468 643056 736835 803820 857408 884202 1071760 1178936 1286112 1473670 1607640 1768404 2143520 2210505 2357872 2572224 2947340 3215280 3536808 4287040 4421010 4715744 5894680 6430560 7073616 8842020 9431488 11789360 12861120 14147232 17684040 23578720 28294464 35368080 47157440 70736160 141472320