Search a number
-
+
141246280 = 23574710733
BaseRepresentation
bin10000110101100…
…11111101001000
3100211210001110201
420122303331020
5242124340110
622003221544
73333400510
oct1032637510
9324701421
10141246280
117280346a
123b3778b4
13233556a6
1414a8a840
15c600b3a
hex86b3f48

141246280 has 64 divisors (see below), whose sum is σ = 370967040. Its totient is φ = 47392512.

The previous prime is 141246277. The next prime is 141246283. The reversal of 141246280 is 82642141.

141246280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141246277) and next prime (141246283).

It is a super-2 number, since 2×1412462802 = 39901023227676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (141246283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7794 + ... + 18526.

It is an arithmetic number, because the mean of its divisors is an integer number (5796360).

Almost surely, 2141246280 is an apocalyptic number.

141246280 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 141246280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185483520).

141246280 is an abundant number, since it is smaller than the sum of its proper divisors (229720760).

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

141246280 is a wasteful number, since it uses less digits than its factorization.

141246280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141246280 is about 11884.7078213981. The cubic root of 141246280 is about 520.7856467203.

The spelling of 141246280 in words is "one hundred forty-one million, two hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 10733 13160 21466 42932 53665 75131 85864 107330 150262 214660 300524 375655 429320 504451 601048 751310 1008902 1502620 2017804 2522255 3005240 3531157 4035608 5044510 7062314 10089020 14124628 17655785 20178040 28249256 35311570 70623140 141246280