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142252240 = 245131923313
BaseRepresentation
bin10000111101010…
…01100011010000
3100220200011101111
420132221203100
5242404032430
622040543104
73345060364
oct1036514320
9326604344
10142252240
1173330239
123b781a94
1323618530
1414c6d2a4
15c74dc2a
hex87a98d0

142252240 has 160 divisors (see below), whose sum is σ = 392474880. Its totient is φ = 47443968.

The previous prime is 142252223. The next prime is 142252241. The reversal of 142252240 is 42252241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142252241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454324 + ... + 454636.

It is an arithmetic number, because the mean of its divisors is an integer number (2452968).

Almost surely, 2142252240 is an apocalyptic number.

142252240 is a gapful number since it is divisible by the number (10) 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 142252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196237440).

142252240 is an abundant number, since it is smaller than the sum of its proper divisors (250222640).

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

142252240 is a wasteful number, since it uses less digits than its factorization.

142252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 142252240 is about 11926.9543471919. The cubic root of 142252240 is about 522.0190732059.

Subtracting from 142252240 its reverse (42252241), we obtain a palindrome (99999999).

The spelling of 142252240 in words is "one hundred forty-two million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 23 26 38 40 46 52 65 76 80 92 95 104 115 130 152 184 190 208 230 247 260 299 304 313 368 380 437 460 494 520 598 626 760 874 920 988 1040 1196 1235 1252 1495 1520 1565 1748 1840 1976 2185 2392 2470 2504 2990 3130 3496 3952 4069 4370 4784 4940 5008 5681 5947 5980 6260 6992 7199 8138 8740 9880 11362 11894 11960 12520 14398 16276 17480 19760 20345 22724 23788 23920 25040 28405 28796 29735 32552 34960 35995 40690 45448 47576 56810 57592 59470 65104 71990 77311 81380 90896 93587 95152 113620 115184 118940 136781 143980 154622 162760 187174 227240 237880 273562 287960 309244 325520 374348 386555 454480 467935 475760 547124 575920 618488 683905 748696 773110 935870 1094248 1236976 1367810 1497392 1546220 1778153 1871740 2188496 2735620 3092440 3556306 3743480 5471240 6184880 7112612 7486960 8890765 10942480 14225224 17781530 28450448 35563060 71126120 142252240