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99980040 = 23351038089
BaseRepresentation
bin1011111010110…
…01001100001000
320222010111211110
411331121030020
5201043330130
613530530320
72322546666
oct575311410
9228114743
1099980040
1151488536
12295969a0
13179376b4
14d3c7c36
158b9dab0
hex5f59308

99980040 has 64 divisors (see below), whose sum is σ = 302889600. Its totient is φ = 26399232.

The previous prime is 99980003. The next prime is 99980047. The reversal of 99980040 is 4008999.

Subtracting from 99980040 its sum of digits (39), we obtain a square (99980001 = 99992).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99980047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8316 + ... + 16404.

It is an arithmetic number, because the mean of its divisors is an integer number (4732650).

Almost surely, 299980040 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 99980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151444800).

99980040 is an abundant number, since it is smaller than the sum of its proper divisors (202909560).

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

99980040 is a wasteful number, since it uses less digits than its factorization.

99980040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 99980040 is about 9999.0019501948. The cubic root of 99980040 is about 464.1279992687.

The spelling of 99980040 in words is "ninety-nine million, nine hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 8089 12360 16178 24267 32356 40445 48534 64712 80890 97068 121335 161780 194136 242670 323560 485340 833167 970680 1666334 2499501 3332668 4165835 4999002 6665336 8331670 9998004 12497505 16663340 19996008 24995010 33326680 49990020 99980040