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99994320 = 24325294789
BaseRepresentation
bin1011111010111…
…00101011010000
320222011020102100
411331130223100
5201044304240
613531120400
72322636426
oct575345320
9228136370
1099994320
1151498238
12295a3100
131794104a
14d3cd116
158ba2e30
hex5f5cad0

99994320 has 120 divisors (see below), whose sum is σ = 347466600. Its totient is φ = 25740288.

The previous prime is 99994319. The next prime is 99994327. The reversal of 99994320 is 2349999.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 99440784 = 744^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99994327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18486 + ... + 23274.

It is an arithmetic number, because the mean of its divisors is an integer number (2895555).

Almost surely, 299994320 is an apocalyptic number.

99994320 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 99994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733300).

99994320 is an abundant number, since it is smaller than the sum of its proper divisors (247472280).

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

99994320 is a wasteful number, since it uses less digits than its factorization.

99994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 99994320 is about 9999.7159959671. The cubic root of 99994320 is about 464.1500951200.

The spelling of 99994320 in words is "ninety-nine million, nine hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 4789 5220 6960 9578 10440 14367 19156 20880 23945 28734 38312 43101 47890 57468 71835 76624 86202 95780 114936 138881 143670 172404 191560 215505 229872 277762 287340 344808 383120 416643 431010 555524 574680 689616 694405 833286 862020 1111048 1149360 1249929 1388810 1666572 1724040 2083215 2222096 2499858 2777620 3333144 3448080 4166430 4999716 5555240 6249645 6666288 8332860 9999432 11110480 12499290 16665720 19998864 24998580 33331440 49997160 99994320