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290136400 = 2452725341
BaseRepresentation
bin10001010010110…
…010000101010000
3202012221110022121
4101102302011100
51043233331100
644442344024
710122055501
oct2122620520
9665843277
10290136400
11139857854
12811bb014
1348156358
142a766ba8
151a71151a
hex114b2150

290136400 has 30 divisors (see below), whose sum is σ = 697053662. Its totient is φ = 116054400.

The previous prime is 290136391. The next prime is 290136401. The reversal of 290136400 is 4631092.

It can be written as a sum of positive squares in 3 ways, for example, as 1272384 + 288864016 = 1128^2 + 16996^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290136401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362271 + ... + 363070.

Almost surely, 2290136400 is an apocalyptic number.

290136400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290136400 is an abundant number, since it is smaller than the sum of its proper divisors (406917262).

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

290136400 is a wasteful number, since it uses less digits than its factorization.

290136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725359 (or 725348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 290136400 is about 17033.3907370200. The cubic root of 290136400 is about 662.0143539450.

Adding to 290136400 its reverse (4631092), we get a palindrome (294767492).

The spelling of 290136400 in words is "two hundred ninety million, one hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 725341 1450682 2901364 3626705 5802728 7253410 11605456 14506820 18133525 29013640 36267050 58027280 72534100 145068200 290136400