Search a number
-
+
142947504 = 2434722251
BaseRepresentation
bin10001000010100…
…11010010110000
3100221222111010000
420201103102300
5243043310004
622103510000
73354014400
oct1041232260
9327874100
10142947504
1173765637
123ba58300
13237ccb2b
1414db0800
15c839c39
hex88534b0

142947504 has 150 divisors (see below), whose sum is σ = 481493364. Its totient is φ = 40824000.

The previous prime is 142947451. The next prime is 142947521. The reversal of 142947504 is 405749241.

It is a happy number.

142947504 is a `hidden beast` number, since 142 + 9 + 4 + 7 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62379 + ... + 64629.

Almost surely, 2142947504 is an apocalyptic number.

142947504 is a gapful number since it is divisible by the number (14) 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 142947504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240746682).

142947504 is an abundant number, since it is smaller than the sum of its proper divisors (338545860).

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

142947504 is a wasteful number, since it uses less digits than its factorization.

142947504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 142947504 is about 11956.0655735907. The cubic root of 142947504 is about 522.8681550259.

The spelling of 142947504 in words is "one hundred forty-two million, nine hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2251 2268 2352 2646 3024 3528 3969 4502 4536 5292 6753 7056 7938 9004 9072 10584 13506 15757 15876 18008 20259 21168 27012 31514 31752 36016 40518 47271 54024 60777 63028 63504 81036 94542 108048 110299 121554 126056 141813 162072 182331 189084 220598 243108 252112 283626 324144 330897 364662 378168 425439 441196 486216 567252 661794 729324 756336 850878 882392 972432 992691 1134504 1276317 1323588 1458648 1701756 1764784 1985382 2269008 2552634 2647176 2917296 2978073 3403512 3970764 5105268 5294352 5956146 6807024 7941528 8934219 10210536 11912292 15883056 17868438 20421072 23824584 35736876 47649168 71473752 142947504