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141272320 = 285715767
BaseRepresentation
bin10000110101110…
…10010100000000
3100211211101012011
420122322110000
5242131203240
622003542304
73333536440
oct1032722400
9324741164
10141272320
1172820a92
123b38a994
13233644b7
1414a96120
15c6086ea
hex86ba500

141272320 has 72 divisors (see below), whose sum is σ = 386757504. Its totient is φ = 48433152.

The previous prime is 141272317. The next prime is 141272357. The reversal of 141272320 is 23272141.

It is a junction number, because it is equal to n+sod(n) for n = 141272291 and 141272300.

It is a congruent number.

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, 1077 + ... + 16843.

It is an arithmetic number, because the mean of its divisors is an integer number (5371632).

Almost surely, 2141272320 is an apocalyptic number.

141272320 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 141272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193378752).

141272320 is an abundant number, since it is smaller than the sum of its proper divisors (245485184).

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

141272320 is an equidigital number, since it uses as much as digits as its factorization.

141272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15781 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 141272320 is about 11885.8032963700. The cubic root of 141272320 is about 520.8176485659.

The spelling of 141272320 in words is "one hundred forty-one million, two hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15767 31534 63068 78835 110369 126136 157670 220738 252272 315340 441476 504544 551845 630680 882952 1009088 1103690 1261360 1765904 2018176 2207380 2522720 3531808 4036352 4414760 5045440 7063616 8829520 10090880 14127232 17659040 20181760 28254464 35318080 70636160 141272320