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142975872 = 2732139547
BaseRepresentation
bin10001000010110…
…10001110000000
3100222000221000200
420201122032000
5243100211442
622104245200
73354163164
oct1041321600
9328027020
10142975872
1173784986
123ba70800
132380ca10
1414dbaca4
15c84334c
hex885a380

142975872 has 96 divisors (see below), whose sum is σ = 443122680. Its totient is φ = 43987968.

The previous prime is 142975871. The next prime is 142975873. The reversal of 142975872 is 278579241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142975871) and next prime (142975873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142975871) 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, 10203 + ... + 19749.

Almost surely, 2142975872 is an apocalyptic number.

142975872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221561340).

142975872 is an abundant number, since it is smaller than the sum of its proper divisors (300146808).

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

142975872 is a wasteful number, since it uses less digits than its factorization.

142975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9565 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 142975872 is about 11957.2518581821. The cubic root of 142975872 is about 522.9027405493.

The spelling of 142975872 in words is "one hundred forty-two million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 9547 14976 19094 28641 38188 57282 76376 85923 114564 124111 152752 171846 229128 248222 305504 343692 372333 458256 496444 611008 687384 744666 916512 992888 1116999 1222016 1374768 1489332 1833024 1985776 2233998 2749536 2978664 3666048 3971552 4467996 5499072 5957328 7943104 8935992 10998144 11914656 15886208 17871984 23829312 35743968 47658624 71487936 142975872