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1002143400 = 233524735537
BaseRepresentation
bin111011101110110…
…111111010101000
32120211201011022020
4323232313322220
54023022042100
6243235224440
733556035606
oct7356677250
92524634266
101002143400
11474758195
1223b748120
1312c80a97b
1497148876
155cea65a0
hex3bbb7ea8

1002143400 has 96 divisors (see below), whose sum is σ = 3172832640. Its totient is φ = 261544960.

The previous prime is 1002143383. The next prime is 1002143431. The reversal of 1002143400 is 43412001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002143400.

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, 10432 + ... + 45968.

It is an arithmetic number, because the mean of its divisors is an integer number (33050340).

Almost surely, 21002143400 is an apocalyptic number.

1002143400 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 1002143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586416320).

1002143400 is an abundant number, since it is smaller than the sum of its proper divisors (2170689240).

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

1002143400 is a wasteful number, since it uses less digits than its factorization.

1002143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35603 (or 35594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002143400 is about 31656.6485907779. The cubic root of 1002143400 is about 1000.7139568110.

Adding to 1002143400 its reverse (43412001), we get a palindrome (1045555401).

The spelling of 1002143400 in words is "one billion, two million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 35537 71074 106611 142148 177685 213222 284296 355370 426444 533055 710740 852888 888425 1066110 1421480 1670239 1776850 2132220 2665275 3340478 3553700 4264440 5010717 5330550 6680956 7107400 8351195 10021434 10661100 13361912 16702390 20042868 21322200 25053585 33404780 40085736 41755975 50107170 66809560 83511950 100214340 125267925 167023900 200428680 250535850 334047800 501071700 1002143400