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142600192 = 2117429
BaseRepresentation
bin10000111111111…
…10100000000000
3100221022211200121
420133332200000
5243001201232
622052230024
73351040000
oct1037764000
9327284617
10142600192
11735486a9
123b90b314
132370aa17
1414d20000
15c7bbd97
hex87fe800

142600192 has 120 divisors (see below), whose sum is σ = 344102850. Its totient is φ = 59006976.

The previous prime is 142600189. The next prime is 142600193. The reversal of 142600192 is 291006241.

It can be written as a sum of positive squares in only one way, i.e., 120472576 + 22127616 = 10976^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (142600193) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4917234 + ... + 4917262.

Almost surely, 2142600192 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 142600192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172051425).

142600192 is an abundant number, since it is smaller than the sum of its proper divisors (201502658).

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

142600192 is an frugal number, since it uses more digits than its factorization.

142600192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 142600192 is about 11941.5322299946. The cubic root of 142600192 is about 522.4443498952. Note that the first 3 decimals are identical.

The spelling of 142600192 in words is "one hundred forty-two million, six hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 343 392 406 448 464 512 686 784 812 896 928 1024 1372 1421 1568 1624 1792 1856 2048 2401 2744 2842 3136 3248 3584 3712 4802 5488 5684 6272 6496 7168 7424 9604 9947 10976 11368 12544 12992 14336 14848 19208 19894 21952 22736 25088 25984 29696 38416 39788 43904 45472 50176 51968 59392 69629 76832 79576 87808 90944 100352 103936 139258 153664 159152 175616 181888 207872 278516 307328 318304 351232 363776 415744 557032 614656 636608 702464 727552 1114064 1229312 1273216 1455104 2228128 2458624 2546432 2910208 4456256 4917248 5092864 8912512 10185728 17825024 20371456 35650048 71300096 142600192