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99678240 = 2532569221
BaseRepresentation
bin1011111000011…
…11100000100000
320221120011211200
411330033200200
5201004200430
613520241200
72320152054
oct574174040
9227504750
1099678240
11512a1812
1229470200
131786020c
14d349c64
158b3e460
hex5f0f820

99678240 has 72 divisors (see below), whose sum is σ = 340156908. Its totient is φ = 26580480.

The previous prime is 99678233. The next prime is 99678247. The reversal of 99678240 is 4287699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99678233) and next prime (99678247).

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 1192464 = 9924^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (99678247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33171 + ... + 36050.

Almost surely, 299678240 is an apocalyptic number.

99678240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99678240 is an abundant number, since it is smaller than the sum of its proper divisors (240478668).

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

99678240 is a wasteful number, since it uses less digits than its factorization.

99678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69242 (or 69231 counting only the distinct ones).

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

The square root of 99678240 is about 9983.8990379511. The cubic root of 99678240 is about 463.6605225956.

The spelling of 99678240 in words is "ninety-nine million, six hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 69221 138442 207663 276884 346105 415326 553768 622989 692210 830652 1038315 1107536 1245978 1384420 1661304 2076630 2215072 2491956 2768840 3114945 3322608 4153260 4983912 5537680 6229890 6645216 8306520 9967824 11075360 12459780 16613040 19935648 24919560 33226080 49839120 99678240