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99684540 = 22335367503
BaseRepresentation
bin1011111000100…
…01000010111100
320221120111111000
411330101002330
5201004401130
613520330300
72320206324
oct574210274
9227514430
1099684540
11512a651a
1229473990
1317863047
14d34c284
158b41260
hex5f110bc

99684540 has 96 divisors (see below), whose sum is σ = 311592960. Its totient is φ = 26457408.

The previous prime is 99684511. The next prime is 99684551. The reversal of 99684540 is 4548699.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197929 + ... + 198431.

It is an arithmetic number, because the mean of its divisors is an integer number (3245760).

Almost surely, 299684540 is an apocalyptic number.

99684540 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 99684540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

99684540 is an abundant number, since it is smaller than the sum of its proper divisors (211908420).

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

99684540 is a wasteful number, since it uses less digits than its factorization.

99684540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 99684540 is about 9984.2145409642. The cubic root of 99684540 is about 463.6702906912.

The spelling of 99684540 in words is "ninety-nine million, six hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 367 503 540 734 1006 1101 1468 1509 1835 2012 2202 2515 3018 3303 3670 4404 4527 5030 5505 6036 6606 7340 7545 9054 9909 10060 11010 13212 13581 15090 16515 18108 19818 22020 22635 27162 30180 33030 39636 45270 49545 54324 66060 67905 90540 99090 135810 184601 198180 271620 369202 553803 738404 923005 1107606 1661409 1846010 2215212 2769015 3322818 3692020 4984227 5538030 6645636 8307045 9968454 11076060 16614090 19936908 24921135 33228180 49842270 99684540