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9142400 = 27522857
BaseRepresentation
bin100010111000…
…000010000000
3122012111000102
4202320002000
54320024100
6523541532
7140465141
oct42700200
918174012
109142400
115184903
12308a8a8
131b81407
1412ddac8
15c08cd5
hex8b8080

9142400 has 48 divisors (see below), whose sum is σ = 22592490. Its totient is φ = 3655680.

The previous prime is 9142391. The next prime is 9142411. The reversal of 9142400 is 42419.

It can be written as a sum of positive squares in 3 ways, for example, as 7441984 + 1700416 = 2728^2 + 1304^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1772 + ... + 4628.

Almost surely, 29142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296245).

9142400 is an abundant number, since it is smaller than the sum of its proper divisors (13450090).

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

9142400 is a wasteful number, since it uses less digits than its factorization.

9142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 9142400 is about 3023.6401902343. The cubic root of 9142400 is about 209.0996983187.

Adding to 9142400 its reverse (42419), we get a palindrome (9184819).

The spelling of 9142400 in words is "nine million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2857 3200 5714 11428 14285 22856 28570 45712 57140 71425 91424 114280 142850 182848 228560 285700 365696 457120 571400 914240 1142800 1828480 2285600 4571200 9142400