Search a number
-
+
142450220 = 225111953643
BaseRepresentation
bin10000111110110…
…01111000101100
3100221001012222002
420133121320230
5242431401340
622045111432
73346543523
oct1037317054
9327035862
10142450220
1173455a60
123b858578
1323687693
1414cc14ba
15c78c715
hex87d9e2c

142450220 has 96 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 48072960.

The previous prime is 142450213. The next prime is 142450303. The reversal of 142450220 is 22054241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142450192 and 142450201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221219 + ... + 221861.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2142450220 is an apocalyptic number.

142450220 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 142450220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

142450220 is an abundant number, since it is smaller than the sum of its proper divisors (208091860).

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

142450220 is a wasteful number, since it uses less digits than its factorization.

142450220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 142450220 is about 11935.2511494313. The cubic root of 142450220 is about 522.2611348366.

The spelling of 142450220 in words is "one hundred forty-two million, four hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 53 55 76 95 106 110 190 209 212 220 265 380 418 530 583 643 836 1007 1045 1060 1166 1286 2014 2090 2332 2572 2915 3215 4028 4180 5035 5830 6430 7073 10070 11077 11660 12217 12860 14146 20140 22154 24434 28292 34079 35365 44308 48868 55385 61085 68158 70730 110770 122170 134387 136316 141460 170395 221540 244340 268774 340790 374869 537548 647501 671935 681580 749738 1295002 1343870 1499476 1874345 2590004 2687740 3237505 3748690 6475010 7122511 7497380 12950020 14245022 28490044 35612555 71225110 142450220