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142769760 = 2535742491
BaseRepresentation
bin10001000001001…
…11111001100000
3100221122110021220
420200213321200
5243022113020
622100015040
73352344240
oct1040477140
9327573256
10142769760
1173654041
123b991480
1323769c63
1414d65b20
15c802240
hex8827e60

142769760 has 96 divisors (see below), whose sum is σ = 513983232. Its totient is φ = 32632320.

The previous prime is 142769747. The next prime is 142769789. The reversal of 142769760 is 67967241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17886 + ... + 24605.

It is an arithmetic number, because the mean of its divisors is an integer number (5353992).

Almost surely, 2142769760 is an apocalyptic number.

142769760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142769760 is an abundant number, since it is smaller than the sum of its proper divisors (371213472).

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

142769760 is a wasteful number, since it uses less digits than its factorization.

142769760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42516 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 142769760 is about 11948.6300469970. The cubic root of 142769760 is about 522.6513499723.

The spelling of 142769760 in words is "one hundred forty-two million, seven hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 42491 84982 127473 169964 212455 254946 297437 339928 424910 509892 594874 637365 679856 849820 892311 1019784 1189748 1274730 1359712 1487185 1699640 1784622 2039568 2379496 2549460 2974370 3399280 3569244 4079136 4461555 4758992 5098920 5948740 6798560 7138488 8923110 9517984 10197840 11897480 14276976 17846220 20395680 23794960 28553952 35692440 47589920 71384880 142769760