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99904500 = 2232531492
BaseRepresentation
bin1011111010001…
…10101111110100
320221222200012200
411331012233310
5201033421000
613525144500
72322113523
oct575065764
9227880180
1099904500
1151436803
122955b130
131790c1b7
14d3a84ba
158b86500
hex5f46bf4

99904500 has 108 divisors (see below), whose sum is σ = 317294796. Its totient is φ = 26462400.

The previous prime is 99904499. The next prime is 99904501. The reversal of 99904500 is 540999.

Multipling 99904500 by its product of nonzero digits (14580), we get a square (1456607610000 = 12069002).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (99904499) and next prime (99904501).

It can be written as a sum of positive squares in 6 ways, for example, as 74442384 + 25462116 = 8628^2 + 5046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99904501) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 670426 + ... + 670574.

Almost surely, 299904500 is an apocalyptic number.

99904500 is a gapful number since it is divisible by the number (90) 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 99904500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647398).

99904500 is an abundant number, since it is smaller than the sum of its proper divisors (217390296).

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

99904500 is a wasteful number, since it uses less digits than its factorization.

99904500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99904500 is about 9995.2238594241. The cubic root of 99904500 is about 464.0110790557.

The spelling of 99904500 in words is "ninety-nine million, nine hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 149 150 180 225 250 298 300 375 447 450 500 596 745 750 894 900 1125 1341 1490 1500 1788 2235 2250 2682 2980 3725 4470 4500 5364 6705 7450 8940 11175 13410 14900 18625 22201 22350 26820 33525 37250 44402 44700 55875 66603 67050 74500 88804 111005 111750 133206 134100 167625 199809 222010 223500 266412 333015 335250 399618 444020 555025 666030 670500 799236 999045 1110050 1332060 1665075 1998090 2220100 2775125 3330150 3996180 4995225 5550250 6660300 8325375 9990450 11100500 16650750 19980900 24976125 33301500 49952250 99904500