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142053975 = 325271947101
BaseRepresentation
bin10000111011110…
…01001001010111
3100220022002102100
420131321021113
5242331211400
622032413143
73343303350
oct1035711127
9326262370
10142053975
1173205288
123b6a71b3
132357920b
1414c1ad27
15c710100
hex8779257

142053975 has 144 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 59616000.

The previous prime is 142053973. The next prime is 142054001. The reversal of 142053975 is 579350241.

It is not a de Polignac number, because 142053975 - 21 = 142053973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142053973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1406425 + ... + 1406525.

It is an arithmetic number, because the mean of its divisors is an integer number (2192320).

Almost surely, 2142053975 is an apocalyptic number.

142053975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142053975 is an abundant number, since it is smaller than the sum of its proper divisors (173640105).

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

142053975 is a wasteful number, since it uses less digits than its factorization.

142053975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 142053975 is about 11918.6398133344. The cubic root of 142053975 is about 521.7764379346.

The spelling of 142053975 in words is "one hundred forty-two million, fifty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 47 57 63 75 95 101 105 133 141 171 175 225 235 285 303 315 329 399 423 475 505 525 665 705 707 855 893 909 987 1175 1197 1425 1515 1575 1645 1919 1995 2115 2121 2525 2679 2961 3325 3525 3535 4275 4465 4545 4747 4935 5757 5985 6251 6363 7575 8037 8225 9595 9975 10575 10605 13395 13433 14241 14805 17271 17675 18753 22325 22725 23735 24675 28785 29925 31255 31815 33229 40185 40299 42723 47975 53025 56259 66975 67165 71205 74025 86355 90193 93765 99687 118675 120897 143925 156275 159075 166145 200925 201495 213615 270579 281295 299061 335825 356025 431775 450965 468825 498435 604485 631351 811737 830725 1007475 1068075 1352895 1406475 1495305 1894053 2254825 2492175 3022425 3156755 4058685 5682159 6764475 7476525 9470265 15783775 20293425 28410795 47351325 142053975