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90103416 = 233131072699
BaseRepresentation
bin1010101111011…
…01111001111000
320021112201122120
411113231321320
5141031302131
612535121240
72142603114
oct527557170
9207481576
1090103416
1146952037
1226213220
131588a040
14bd76744
157d9c496
hex55ede78

90103416 has 64 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 27454848.

The previous prime is 90103381. The next prime is 90103423. The reversal of 90103416 is 61430109.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32035 + ... + 34733.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 290103416 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 90103416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

90103416 is an abundant number, since it is smaller than the sum of its proper divisors (154840584).

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

90103416 is a wasteful number, since it uses less digits than its factorization.

90103416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90103416 is about 9492.2819174317. The cubic root of 90103416 is about 448.3120567132.

The spelling of 90103416 in words is "ninety million, one hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2699 2782 4173 5398 5564 8097 8346 10796 11128 16194 16692 21592 32388 33384 35087 64776 70174 105261 140348 210522 280696 288793 421044 577586 842088 866379 1155172 1732758 2310344 3465516 3754309 6931032 7508618 11262927 15017236 22525854 30034472 45051708 90103416