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141393792 = 2732912697
BaseRepresentation
bin10000110110101…
…11111110000000
3100212001112211010
420123113332000
5242144100132
622010320520
73334553541
oct1033277600
9325045733
10141393792
11728a4281
123b429140
13233a7887
1414ac84c8
15c62e6cc
hex86d7f80

141393792 has 64 divisors (see below), whose sum is σ = 388558800. Its totient is φ = 45502464.

The previous prime is 141393787. The next prime is 141393793. The reversal of 141393792 is 297393141.

141393792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1413937922 = 39984408832278528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141393792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141393793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4788 + ... + 17484.

Almost surely, 2141393792 is an apocalyptic number.

141393792 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 141393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194279400).

141393792 is an abundant number, since it is smaller than the sum of its proper divisors (247165008).

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

141393792 is a wasteful number, since it uses less digits than its factorization.

141393792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743 (or 12731 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 141393792 is about 11890.9121601330. The cubic root of 141393792 is about 520.9668795865.

The spelling of 141393792 in words is "one hundred forty-one million, three hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 12697 25394 38091 50788 76182 101576 152364 203152 304728 368213 406304 609456 736426 812608 1104639 1218912 1472852 1625216 2209278 2437824 2945704 4418556 4875648 5891408 8837112 11782816 17674224 23565632 35348448 47131264 70696896 141393792