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142474200 = 233521121587
BaseRepresentation
bin10000111110111…
…11101111011000
3100221002102212020
420133133233120
5242433133300
622045414440
73350003451
oct1037375730
9327072766
10142474200
1173471a80
123b86a420
132369557b
1414cca128
15c7948a0
hex87dfbd8

142474200 has 96 divisors (see below), whose sum is σ = 481844160. Its totient is φ = 34537600.

The previous prime is 142474193. The next prime is 142474219. The reversal of 142474200 is 2474241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4194 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (5019210).

Almost surely, 2142474200 is an apocalyptic number.

142474200 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 142474200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240922080).

142474200 is an abundant number, since it is smaller than the sum of its proper divisors (339369960).

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

142474200 is a wasteful number, since it uses less digits than its factorization.

142474200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 142474200 is about 11936.2556943122. The cubic root of 142474200 is about 522.2904389199.

The spelling of 142474200 in words is "one hundred forty-two million, four hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 21587 43174 64761 86348 107935 129522 172696 215870 237457 259044 323805 431740 474914 518088 539675 647610 712371 863480 949828 1079350 1187285 1295220 1424742 1619025 1899656 2158700 2374570 2590440 2849484 3238050 3561855 4317400 4749140 5698968 5936425 6476100 7123710 9498280 11872850 12952200 14247420 17809275 23745700 28494840 35618550 47491400 71237100 142474200