Search a number
-
+
142944600 = 233521912539
BaseRepresentation
bin10001000010100…
…10100101011000
3100221222100010110
420201102211120
5243043211400
622103444320
73354003051
oct1041224530
9327870113
10142944600
1173763437
123ba566a0
13237cb706
1414dad728
15c838e50
hex8852958

142944600 has 96 divisors (see below), whose sum is σ = 466488000. Its totient is φ = 36109440.

The previous prime is 142944583. The next prime is 142944611. The reversal of 142944600 is 6449241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5131 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (4859250).

Almost surely, 2142944600 is an apocalyptic number.

142944600 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 142944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233244000).

142944600 is an abundant number, since it is smaller than the sum of its proper divisors (323543400).

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

142944600 is a wasteful number, since it uses less digits than its factorization.

142944600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 142944600 is about 11955.9441283405. The cubic root of 142944600 is about 522.8646142869.

The spelling of 142944600 in words is "one hundred forty-two million, nine hundred forty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 12539 25078 37617 50156 62695 75234 100312 125390 150468 188085 238241 250780 300936 313475 376170 476482 501560 626950 714723 752340 940425 952964 1191205 1253900 1429446 1504680 1880850 1905928 2382410 2507800 2858892 3573615 3761700 4764820 5717784 5956025 7147230 7523400 9529640 11912050 14294460 17868075 23824100 28588920 35736150 47648200 71472300 142944600