Search a number
-
+
141250032 = 243271112739
BaseRepresentation
bin10000110101101…
…00110111110000
3100211210020121200
420122310313300
5242130000112
622003251200
73333414450
oct1032646760
9324706550
10141250032
1172806270
123b379b00
1323357301
1414a8bd60
15c601cdc
hex86b4df0

141250032 has 120 divisors (see below), whose sum is σ = 492885120. Its totient is φ = 36685440.

The previous prime is 141250019. The next prime is 141250033. The reversal of 141250032 is 230052141.

141250032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141249987 and 141250014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141250033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4719 + ... + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (4107376).

Almost surely, 2141250032 is an apocalyptic number.

141250032 is a gapful number since it is divisible by the number (12) 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 141250032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246442560).

141250032 is an abundant number, since it is smaller than the sum of its proper divisors (351635088).

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

141250032 is a wasteful number, since it uses less digits than its factorization.

141250032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12771 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 141250032 is about 11884.8656702548. The cubic root of 141250032 is about 520.7902579814.

The spelling of 141250032 in words is "one hundred forty-one million, two hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12739 25478 38217 50956 76434 89173 101912 114651 140129 152868 178346 203824 229302 267519 280258 305736 356692 420387 458604 535038 560516 611472 713384 802557 840774 917208 980903 1070076 1121032 1261161 1426768 1605114 1681548 1834416 1961806 2140152 2242064 2522322 2942709 3210228 3363096 3923612 4280304 5044644 5885418 6420456 6726192 7847224 8828127 10089288 11770836 12840912 15694448 17656254 20178576 23541672 35312508 47083344 70625016 141250032