Search a number
-
+
142563360 = 25351717471
BaseRepresentation
bin10000111111101…
…01100000100000
3100221020222011110
420133311200200
5242444011420
622051343320
73350524422
oct1037654040
9327228143
10142563360
1173522a65
123b8b1b40
13236c7024
1414d10812
15c7b0ee0
hex87f5820

142563360 has 96 divisors (see below), whose sum is σ = 475517952. Its totient is φ = 35778560.

The previous prime is 142563347. The next prime is 142563367. The reversal of 142563360 is 63365241.

142563360 is digitally balanced in base 3, 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 (96).

It is a super-2 number, since 2×1425633602 = 40648623228979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (142563367) 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, 576 + ... + 16895.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2142563360 is an apocalyptic number.

142563360 is a gapful number since it is divisible by the number (10) 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 142563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

142563360 is an abundant number, since it is smaller than the sum of its proper divisors (332954592).

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

142563360 is a wasteful number, since it uses less digits than its factorization.

142563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 142563360 is about 11939.9899497445. The cubic root of 142563360 is about 522.3993655536.

The spelling of 142563360 in words is "one hundred forty-two million, five hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 17471 34942 52413 69884 87355 104826 139768 174710 209652 262065 279536 297007 349420 419304 524130 559072 594014 698840 838608 891021 1048260 1188028 1397680 1485035 1677216 1782042 2096520 2376056 2795360 2970070 3564084 4193040 4455105 4752112 5940140 7128168 8386080 8910210 9504224 11880280 14256336 17820420 23760560 28512672 35640840 47521120 71281680 142563360