Search a number
-
+
99004080 = 24357311901
BaseRepresentation
bin1011110011010…
…10111010110000
320220021221001210
411321222322300
5200321112310
613454000120
72311343430
oct571527260
9226257053
1099004080
115098125a
12291a6040
13176853c6
14d2122c0
158a59820
hex5e6aeb0

99004080 has 160 divisors (see below), whose sum is σ = 362262528. Its totient is φ = 21888000.

The previous prime is 99004069. The next prime is 99004097. The reversal of 99004080 is 8040099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51130 + ... + 53030.

Almost surely, 299004080 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 99004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181131264).

99004080 is an abundant number, since it is smaller than the sum of its proper divisors (263258448).

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

99004080 is a wasteful number, since it uses less digits than its factorization.

99004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 99004080 is about 9950.0793966681. The cubic root of 99004080 is about 462.6128558294.

The spelling of 99004080 in words is "ninety-nine million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 1901 2170 2480 2604 3255 3472 3720 3802 4340 5208 5703 6510 7440 7604 8680 9505 10416 11406 13020 13307 15208 17360 19010 22812 26040 26614 28515 30416 38020 39921 45624 52080 53228 57030 58931 66535 76040 79842 91248 106456 114060 117862 133070 152080 159684 176793 199605 212912 228120 235724 266140 294655 319368 353586 399210 412517 456240 471448 532280 589310 638736 707172 798420 825034 883965 942896 1064560 1178620 1237551 1414344 1596840 1650068 1767930 2062585 2357240 2475102 2828688 3193680 3300136 3535860 4125170 4714480 4950204 6187755 6600272 7071720 8250340 9900408 12375510 14143440 16500680 19800816 24751020 33001360 49502040 99004080