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99973440 = 2634571929
BaseRepresentation
bin1011111010101…
…11100101000000
320222010011210000
411331113211000
5201043122230
613530440000
72322521520
oct575274500
9228104700
1099973440
1151483586
1229593000
13179346a8
14d3c5680
158b9bb60
hex5f57940

99973440 has 560 divisors, whose sum is σ = 442569600. Its totient is φ = 20901888.

The previous prime is 99973439. The next prime is 99973441. The reversal of 99973440 is 4437999.

It is an interprime number because it is at equal distance from previous prime (99973439) and next prime (99973441).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99973441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447346 + ... + 3447374.

Almost surely, 299973440 is an apocalyptic number.

99973440 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 99973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284800).

99973440 is an abundant number, since it is smaller than the sum of its proper divisors (342596160).

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

99973440 is a wasteful number, since it uses less digits than its factorization.

99973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 99973440 is about 9998.6719118091. The cubic root of 99973440 is about 464.1177861895.

The spelling of 99973440 in words is "ninety-nine million, nine hundred seventy-three thousand, four hundred forty".