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142456720 = 2457236341
BaseRepresentation
bin10000111110110…
…11011110010000
3100221001112212211
420133123132100
5242432103340
622045201504
73346601500
oct1037333620
9327045784
10142456720
117345a92a
123b860294
132368a623
1414cc3a00
15c78e5ea
hex87db790

142456720 has 60 divisors (see below), whose sum is σ = 385297884. Its totient is φ = 48840960.

The previous prime is 142456711. The next prime is 142456723. The reversal of 142456720 is 27654241.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 60155536 = 9072^2 + 7756^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142456723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14251 + ... + 22090.

Almost surely, 2142456720 is an apocalyptic number.

142456720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142456720 is an abundant number, since it is smaller than the sum of its proper divisors (242841164).

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

142456720 is a wasteful number, since it uses less digits than its factorization.

142456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36355 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 142456720 is about 11935.5234489318. The cubic root of 142456720 is about 522.2690783033.

The spelling of 142456720 in words is "one hundred forty-two million, four hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 36341 72682 145364 181705 254387 290728 363410 508774 581456 726820 1017548 1271935 1453640 1780709 2035096 2543870 2907280 3561418 4070192 5087740 7122836 8903545 10175480 14245672 17807090 20350960 28491344 35614180 71228360 142456720