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99627840 = 2633513887
BaseRepresentation
bin1011111000000…
…11001101000000
320221110121201000
411330003031000
5201001042330
613515212000
72316552114
oct574031500
9227417630
1099627840
1151267964
1229447000
13178432b0
14d335744
158b2e560
hex5f03340

99627840 has 224 divisors, whose sum is σ = 378927360. Its totient is φ = 24496128.

The previous prime is 99627809. The next prime is 99627859. The reversal of 99627840 is 4872699.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111877 + ... + 112763.

It is an arithmetic number, because the mean of its divisors is an integer number (1691640).

Almost surely, 299627840 is an apocalyptic number.

99627840 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 99627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189463680).

99627840 is an abundant number, since it is smaller than the sum of its proper divisors (279299520).

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

99627840 is a wasteful number, since it uses less digits than its factorization.

99627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

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

The square root of 99627840 is about 9981.3746548259. The cubic root of 99627840 is about 463.5823630092.

The spelling of 99627840 in words is "ninety-nine million, six hundred twenty-seven thousand, eight hundred forty".