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142691220 = 22345712583
BaseRepresentation
bin10001000000101…
…00101110010100
3100221111110120000
420200110232110
5243012104340
622054211300
73351566250
oct1040245624
9327443500
10142691220
1173600031
123b953b30
1323740299
1414d45260
15c7d8d30
hex8814b94

142691220 has 120 divisors (see below), whose sum is σ = 511615104. Its totient is φ = 32612544.

The previous prime is 142691209. The next prime is 142691221. The reversal of 142691220 is 22196241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142691221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5049 + ... + 17631.

Almost surely, 2142691220 is an apocalyptic number.

142691220 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 142691220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255807552).

142691220 is an abundant number, since it is smaller than the sum of its proper divisors (368923884).

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

142691220 is a wasteful number, since it uses less digits than its factorization.

142691220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142691220 is about 11945.3430256314. The cubic root of 142691220 is about 522.5554926829. Note that the first 3 decimals are identical.

The spelling of 142691220 in words is "one hundred forty-two million, six hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12583 25166 37749 50332 62915 75498 88081 113247 125830 150996 176162 188745 226494 251660 264243 339741 352324 377490 440405 452988 528486 566235 679482 754980 792729 880810 1019223 1056972 1132470 1321215 1358964 1585458 1698705 1761620 2038446 2264940 2378187 2642430 3170916 3397410 3963645 4076892 4756374 5096115 5284860 6794820 7134561 7927290 9512748 10192230 11890935 14269122 15854580 20384460 23781870 28538244 35672805 47563740 71345610 142691220