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142606464 = 27372111353
BaseRepresentation
bin10001000000000…
…00000010000000
3100221100011021220
420200000002000
5243001401324
622052315040
73351064200
oct1040000200
9327304256
10142606464
1173552390
123b912a80
1323710830
1414d22400
15c7bdb79
hex8800080

142606464 has 384 divisors, whose sum is σ = 527446080. Its totient is φ = 33546240.

The previous prime is 142606459. The next prime is 142606511. The reversal of 142606464 is 464606241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690662 + ... + 2690714.

Almost surely, 2142606464 is an apocalyptic number.

142606464 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 142606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263723040).

142606464 is an abundant number, since it is smaller than the sum of its proper divisors (384839616).

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

142606464 is a wasteful number, since it uses less digits than its factorization.

142606464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 142606464 is about 11941.7948399728. The cubic root of 142606464 is about 522.4520093588.

It can be divided in two parts, 142 and 606464, that added together give a palindrome (606606).

The spelling of 142606464 in words is "one hundred forty-two million, six hundred six thousand, four hundred sixty-four".