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99874260 = 223251922953
BaseRepresentation
bin1011111001111…
…11010111010100
320221221010201200
411330333113110
5201031434020
613524352500
72321626413
oct574772724
9227833650
1099874260
1151416012
1229545730
13178cb4c5
14d39b47a
158b7c590
hex5f3f5d4

99874260 has 216 divisors, whose sum is σ = 337002120. Its totient is φ = 23901696.

The previous prime is 99874199. The next prime is 99874277. The reversal of 99874260 is 6247899.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18766224 + 81108036 = 4332^2 + 9006^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1884394 + ... + 1884446.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 299874260 is an apocalyptic number.

99874260 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 99874260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168501060).

99874260 is an abundant number, since it is smaller than the sum of its proper divisors (237127860).

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

99874260 is a wasteful number, since it uses less digits than its factorization.

99874260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99874260 is about 9993.7110224381. The cubic root of 99874260 is about 463.9642573042.

The spelling of 99874260 in words is "ninety-nine million, eight hundred seventy-four thousand, two hundred sixty".