Search a number
-
+
142227120 = 2435784659
BaseRepresentation
bin10000111101000…
…11011010110000
3100220121212221010
420132203122300
5242402231440
622040230520
73344624220
oct1036433260
9326555833
10142227120
1173313382
123b76b440
1323609c79
1414c64080
15c746580
hex87a36b0

142227120 has 80 divisors (see below), whose sum is σ = 503896320. Its totient is φ = 32508672.

The previous prime is 142227119. The next prime is 142227121. The reversal of 142227120 is 21722241.

It is an interprime number because it is at equal distance from previous prime (142227119) and next prime (142227121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (142227121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40650 + ... + 44009.

It is an arithmetic number, because the mean of its divisors is an integer number (6298704).

Almost surely, 2142227120 is an apocalyptic number.

142227120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142227120 is an abundant number, since it is smaller than the sum of its proper divisors (361669200).

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

142227120 is a wasteful number, since it uses less digits than its factorization.

142227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84682 (or 84676 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 142227120 is about 11925.9012238069. The cubic root of 142227120 is about 521.9883440095.

Adding to 142227120 its reverse (21722241), we get a palindrome (163949361).

The spelling of 142227120 in words is "one hundred forty-two million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 84659 169318 253977 338636 423295 507954 592613 677272 846590 1015908 1185226 1269885 1354544 1693180 1777839 2031816 2370452 2539770 2963065 3386360 3555678 4063632 4740904 5079540 5926130 6772720 7111356 8889195 9481808 10159080 11852260 14222712 17778390 20318160 23704520 28445424 35556780 47409040 71113560 142227120