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142760208 = 24331372593
BaseRepresentation
bin10001000001001…
…01100100010000
3100221121222012010
420200211210100
5243021311313
622055502520
73352304343
oct1040454420
9327558163
10142760208
1173647948
123b987a40
13237657c6
1414d6245a
15c7ee4c3
hex8825910

142760208 has 80 divisors (see below), whose sum is σ = 391133696. Its totient is φ = 44789760.

The previous prime is 142760207. The next prime is 142760209. The reversal of 142760208 is 802067241.

It is an interprime number because it is at equal distance from previous prime (142760207) and next prime (142760209).

It is not an unprimeable number, because it can be changed into a prime (142760201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53760 + ... + 56352.

Almost surely, 2142760208 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 142760208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195566848).

142760208 is an abundant number, since it is smaller than the sum of its proper divisors (248373488).

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

142760208 is a wasteful number, since it uses less digits than its factorization.

142760208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 142760208 is about 11948.2303292161. The cubic root of 142760208 is about 522.6396937293.

The spelling of 142760208 in words is "one hundred forty-two million, seven hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 2294 2593 3441 4588 5186 6882 7779 9176 10372 13764 15558 18352 20744 27528 31116 41488 55056 62232 80383 95941 124464 160766 191882 241149 287823 321532 383764 482298 575646 643064 767528 964596 1151292 1286128 1535056 1929192 2302584 2974171 3858384 4605168 5948342 8922513 11896684 17845026 23793368 35690052 47586736 71380104 142760208