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142100464 = 24112292531
BaseRepresentation
bin10000111100001…
…00011111110000
3100220101110012011
420132010133300
5242334203324
622033412304
73343556032
oct1036043760
9326343164
10142100464
1173237200
123b70a094
132359441c
1414c2dc52
15c71dc94
hex87847f0

142100464 has 60 divisors (see below), whose sum is σ = 313183080. Its totient is φ = 62339200.

The previous prime is 142100459. The next prime is 142100471. The reversal of 142100464 is 464001241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54879 + ... + 57409.

It is an arithmetic number, because the mean of its divisors is an integer number (5219718).

Almost surely, 2142100464 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 142100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156591540).

142100464 is an abundant number, since it is smaller than the sum of its proper divisors (171082616).

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

142100464 is a wasteful number, since it uses less digits than its factorization.

142100464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142100464 is about 11920.5899182884. The cubic root of 142100464 is about 521.8333510884.

It can be divided in two parts, 142100 and 464, that multiplied together give a square (65934400 = 81202).

The spelling of 142100464 in words is "one hundred forty-two million, one hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2531 2552 3509 5062 5104 7018 10124 14036 20248 27841 28072 40496 55682 56144 73399 111364 146798 222728 293596 306251 445456 587192 612502 807389 1174384 1225004 1614778 2450008 3229556 4900016 6459112 8881279 12918224 17762558 35525116 71050232 142100464