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142407400 = 23522943571
BaseRepresentation
bin10000111110011…
…11011011101000
3100220222001020011
420133033123220
5242424014100
622044141304
73346304632
oct1037173350
9326861204
10142407400
1173426873
123b837834
1323671045
1414cada52
15c77ebba
hex87cf6e8

142407400 has 96 divisors (see below), whose sum is σ = 351093600. Its totient is φ = 53625600.

The previous prime is 142407389. The next prime is 142407401. The reversal of 142407400 is 4704241.

It is not an unprimeable number, because it can be changed into a prime (142407401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249115 + ... + 249685.

It is an arithmetic number, because the mean of its divisors is an integer number (3657225).

Almost surely, 2142407400 is an apocalyptic number.

142407400 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 142407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175546800).

142407400 is an abundant number, since it is smaller than the sum of its proper divisors (208686200).

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

142407400 is a wasteful number, since it uses less digits than its factorization.

142407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 142407400 is about 11933.4571688174. The cubic root of 142407400 is about 522.2087996818.

The spelling of 142407400 in words is "one hundred forty-two million, four hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 43 50 58 86 100 116 145 172 200 215 232 290 344 430 571 580 725 860 1075 1142 1160 1247 1450 1720 2150 2284 2494 2855 2900 4300 4568 4988 5710 5800 6235 8600 9976 11420 12470 14275 16559 22840 24553 24940 28550 31175 33118 49106 49880 57100 62350 66236 82795 98212 114200 122765 124700 132472 165590 196424 245530 249400 331180 413975 491060 613825 662360 712037 827950 982120 1227650 1424074 1655900 2455300 2848148 3311800 3560185 4910600 5696296 7120370 14240740 17800925 28481480 35601850 71203700 142407400