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142386192 = 243213233307
BaseRepresentation
bin10000111110010…
…10010000010000
3100220220222010200
420133022100100
5242422324232
622043455200
73346156044
oct1037122020
9326828120
10142386192
1173411943
123b827500
13236644b0
1414ca6024
15c77877c
hex87ca410

142386192 has 120 divisors (see below), whose sum is σ = 447929664. Its totient is φ = 41893632.

The previous prime is 142386191. The next prime is 142386217. The reversal of 142386192 is 291683241.

142386192 is a `hidden beast` number, since 1 + 4 + 2 + 38 + 619 + 2 = 666.

142386192 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142386191) 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, 41403 + ... + 44709.

Almost surely, 2142386192 is an apocalyptic number.

142386192 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 142386192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223964832).

142386192 is an abundant number, since it is smaller than the sum of its proper divisors (305543472).

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

142386192 is a wasteful number, since it uses less digits than its factorization.

142386192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3348 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 142386192 is about 11932.5685416008. The cubic root of 142386192 is about 522.1828751066.

The spelling of 142386192 in words is "one hundred forty-two million, three hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3307 3312 3588 4784 5382 6614 7176 9921 10764 13228 14352 19842 21528 26456 29763 39684 42991 43056 52912 59526 76061 79368 85982 119052 128973 152122 158736 171964 228183 238104 257946 304244 343928 386919 456366 476208 515892 608488 684549 687856 773838 912732 988793 1031784 1216976 1369098 1547676 1825464 1977586 2063568 2738196 2966379 3095352 3650928 3955172 5476392 5932758 6190704 7910344 8899137 10952784 11865516 15820688 17798274 23731032 35596548 47462064 71193096 142386192