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141020432 = 2472199467
BaseRepresentation
bin10000110011111…
…00110100010000
3100211100120122222
420121330310100
5242100123212
621554320212
73331440200
oct1031746420
9324316588
10141020432
1172669813
123b289068
13232a6957
1414a2c400
15c5a8c72
hex867cd10

141020432 has 60 divisors (see below), whose sum is σ = 334599120. Its totient is φ = 57250368.

The previous prime is 141020393. The next prime is 141020437. The reversal of 141020432 is 234020141.

It is a self number, because there is not a number n which added to its sum of digits gives 141020432.

It is not an unprimeable number, because it can be changed into a prime (141020437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10163 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (5576652).

Almost surely, 2141020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167299560).

141020432 is an abundant number, since it is smaller than the sum of its proper divisors (193578688).

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

141020432 is a wasteful number, since it uses less digits than its factorization.

141020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 141020432 is about 11875.2023982752. The cubic root of 141020432 is about 520.5079257972.

Adding to 141020432 its reverse (234020141), we get a palindrome (375040573).

The spelling of 141020432 in words is "one hundred forty-one million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 9467 14896 18934 37868 66269 75736 132538 151472 179873 265076 359746 463883 530152 719492 927766 1060304 1259111 1438984 1855532 2518222 2877968 3711064 5036444 7422128 8813777 10072888 17627554 20145776 35255108 70510216 141020432