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142412064 = 2536183293
BaseRepresentation
bin10000111110100…
…00100100100000
3100220222021121220
420133100210200
5242424141224
622044215040
73346324344
oct1037204440
9326867556
10142412064
117342a323
123b83a480
13236731c2
1414cb1624
15c781279
hex87d0920

142412064 has 96 divisors (see below), whose sum is σ = 385850304. Its totient is φ = 45972480.

The previous prime is 142412041. The next prime is 142412107. The reversal of 142412064 is 460214241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485902 + ... + 486194.

It is an arithmetic number, because the mean of its divisors is an integer number (4019274).

Almost surely, 2142412064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).

142412064 is an abundant number, since it is smaller than the sum of its proper divisors (243438240).

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

142412064 is a wasteful number, since it uses less digits than its factorization.

142412064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142412064 is about 11933.6525841839. The cubic root of 142412064 is about 522.2145005917.

The spelling of 142412064 in words is "one hundred forty-two million, four hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 83 96 122 166 183 244 249 293 332 366 488 498 586 664 732 879 976 996 1172 1328 1464 1758 1952 1992 2344 2656 2928 3516 3984 4688 5063 5856 7032 7968 9376 10126 14064 15189 17873 20252 24319 28128 30378 35746 40504 48638 53619 60756 71492 72957 81008 97276 107238 121512 142984 145914 162016 194552 214476 243024 285968 291828 389104 428952 486048 571936 583656 778208 857904 1167312 1483459 1715808 2334624 2966918 4450377 5933836 8900754 11867672 17801508 23735344 35603016 47470688 71206032 142412064