Search a number
-
+
142555032 = 23334116097
BaseRepresentation
bin10000111111100…
…11011110011000
3100221020112202000
420133303132120
5242443230112
622051241000
73350461224
oct1037633630
9327215660
10142555032
1173517784
123b8a9160
13236c32b9
1414d0b784
15c7ad7dc
hex87f3798

142555032 has 64 divisors (see below), whose sum is σ = 405669600. Its totient is φ = 46356480.

The previous prime is 142555031. The next prime is 142555051. The reversal of 142555032 is 230555241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142554987 and 142555005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142555031) 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, 808 + ... + 16904.

Almost surely, 2142555032 is an apocalyptic number.

142555032 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 142555032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202834800).

142555032 is an abundant number, since it is smaller than the sum of its proper divisors (263114568).

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

142555032 is a wasteful number, since it uses less digits than its factorization.

142555032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 142555032 is about 11939.6412006392. The cubic root of 142555032 is about 522.3891931721.

The spelling of 142555032 in words is "one hundred forty-two million, five hundred fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 16097 32194 48291 64388 96582 128776 144873 193164 289746 386328 434619 579492 659977 869238 1158984 1319954 1738476 1979931 2639908 3476952 3959862 5279816 5939793 7919724 11879586 15839448 17819379 23759172 35638758 47518344 71277516 142555032