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142469640 = 23325395749
BaseRepresentation
bin10000111110111…
…10101000001000
3100221002012121100
420133132220020
5242433012030
622045341400
73346654245
oct1037365010
9327065540
10142469640
1173469605
123b867860
1323693481
1414cc85cc
15c793360
hex87dea08

142469640 has 48 divisors (see below), whose sum is σ = 463027500. Its totient is φ = 37991808.

The previous prime is 142469633. The next prime is 142469641. The reversal of 142469640 is 46964241.

142469640 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 6 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142420356 + 49284 = 11934^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142469595 and 142469604.

It is not an unprimeable number, because it can be changed into a prime (142469641) by changing a digit.

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, 197515 + ... + 198234.

Almost surely, 2142469640 is an apocalyptic number.

142469640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142469640 is an abundant number, since it is smaller than the sum of its proper divisors (320557860).

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

142469640 is a wasteful number, since it uses less digits than its factorization.

142469640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395766 (or 395759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 142469640 is about 11936.0646781089. The cubic root of 142469640 is about 522.2848667536.

The spelling of 142469640 in words is "one hundred forty-two million, four hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 395749 791498 1187247 1582996 1978745 2374494 3165992 3561741 3957490 4748988 5936235 7123482 7914980 9497976 11872470 14246964 15829960 17808705 23744940 28493928 35617410 47489880 71234820 142469640