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142184960 = 29555541
BaseRepresentation
bin10000111100110…
…01001000000000
3100220112202002122
420132121020000
5242344404320
622035303412
73344360261
oct1036311000
9326482078
10142184960
1173294735
123b74ab68
13235c3a18
1414c52968
15c738d25
hex8799200

142184960 has 40 divisors (see below), whose sum is σ = 340916796. Its totient is φ = 56872960.

The previous prime is 142184953. The next prime is 142184963. The reversal of 142184960 is 69481241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125798656 + 16386304 = 11216^2 + 4048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 142184960.

It is not an unprimeable number, because it can be changed into a prime (142184963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25211 + ... + 30330.

Almost surely, 2142184960 is an apocalyptic number.

142184960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142184960 is an abundant number, since it is smaller than the sum of its proper divisors (198731836).

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

142184960 is an frugal number, since it uses more digits than its factorization.

142184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55564 (or 55548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 142184960 is about 11924.1335114968. The cubic root of 142184960 is about 521.9367617153.

The spelling of 142184960 in words is "one hundred forty-two million, one hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 55541 111082 222164 277705 444328 555410 888656 1110820 1777312 2221640 3554624 4443280 7109248 8886560 14218496 17773120 28436992 35546240 71092480 142184960