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142405452 = 22347371697
BaseRepresentation
bin10000111110011…
…10111101001100
3100220221221120000
420133032331030
5242423433302
622044124300
73346266150
oct1037167514
9326857500
10142405452
1173425362
123b836690
13236701a7
1414cad060
15c77e31c
hex87cef4c

142405452 has 120 divisors (see below), whose sum is σ = 437214624. Its totient is φ = 39564288.

The previous prime is 142405427. The next prime is 142405463. The reversal of 142405452 is 254504241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83068 + ... + 84764.

Almost surely, 2142405452 is an apocalyptic number.

142405452 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 142405452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218607312).

142405452 is an abundant number, since it is smaller than the sum of its proper divisors (294809172).

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

142405452 is a wasteful number, since it uses less digits than its factorization.

142405452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 142405452 is about 11933.3755492736. The cubic root of 142405452 is about 522.2064185617.

Adding to 142405452 its reverse (254504241), we get a palindrome (396909693).

The spelling of 142405452 in words is "one hundred forty-two million, four hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1697 1998 2268 2331 2997 3108 3394 3996 4662 5091 5994 6788 6993 9324 10182 11879 11988 13986 15273 20364 20979 23758 27972 30546 35637 41958 45819 47516 61092 62789 71274 83916 91638 106911 125578 137457 142548 183276 188367 213822 251156 274914 320733 376734 427644 439523 549828 565101 641466 753468 879046 962199 1130202 1282932 1318569 1695303 1758092 1924398 2260404 2637138 3390606 3848796 3955707 5085909 5274276 6781212 7911414 10171818 11867121 15822828 20343636 23734242 35601363 47468484 71202726 142405452