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90409410 = 232572131983
BaseRepresentation
bin1010110001110…
…00100111000010
320022010021101200
411120320213002
5141121100120
612545442030
72145316200
oct530704702
9208107350
1090409410
1147040a23
1226340316
13159663c0
14c016070
157e0ce90
hex56389c2

90409410 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 17853696.

The previous prime is 90409409. The next prime is 90409433. The reversal of 90409410 is 1490409.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×904094102 = 16347722833096200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1089229 + ... + 1089311.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 290409410 is an apocalyptic number.

90409410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90409410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

90409410 is an abundant number, since it is smaller than the sum of its proper divisors (223300350).

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

90409410 is a wasteful number, since it uses less digits than its factorization.

90409410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90409410 is about 9508.3862984210. The cubic root of 90409410 is about 448.8189771971.

Adding to 90409410 its reverse (1490409), we get a palindrome (91899819).

The spelling of 90409410 in words is "ninety million, four hundred nine thousand, four hundred ten".