Search a number
-
+
141029772 = 223131515987
BaseRepresentation
bin10000110011111…
…11000110001100
3100211101001110220
420121333012030
5242100423042
621554431340
73331506342
oct1031770614
9324331426
10141029772
1172675834
123b292550
13232aac90
1414a31992
15c5ab8ec
hex867f18c

141029772 has 48 divisors (see below), whose sum is σ = 356788992. Its totient is φ = 43099200.

The previous prime is 141029771. The next prime is 141029783. The reversal of 141029772 is 277920141.

141029772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141029771) 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, 20563 + ... + 26549.

It is an arithmetic number, because the mean of its divisors is an integer number (7433104).

Almost surely, 2141029772 is an apocalyptic number.

141029772 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 141029772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178394496).

141029772 is an abundant number, since it is smaller than the sum of its proper divisors (215759220).

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

141029772 is a wasteful number, since it uses less digits than its factorization.

141029772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 141029772 is about 11875.5956482191. The cubic root of 141029772 is about 520.5194168903.

The spelling of 141029772 in words is "one hundred forty-one million, twenty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 5987 7852 11778 11974 17961 23556 23948 35922 71844 77831 155662 233493 311324 466986 904037 933972 1808074 2712111 3616148 5424222 10848444 11752481 23504962 35257443 47009924 70514886 141029772