Search a number
-
+
99929060 = 225711217347
BaseRepresentation
bin1011111010011…
…00101111100100
320222000220220022
411331030233210
5201040212220
613525454312
72322245240
oct575145744
9228026808
1099929060
1151453200
1229571398
131791a42a
14d3b3420
158b8d925
hex5f4cbe4

99929060 has 144 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 29230080.

The previous prime is 99929057. The next prime is 99929069. The reversal of 99929060 is 6092999.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99929069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287807 + ... + 288153.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 299929060 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 99929060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

99929060 is an abundant number, since it is smaller than the sum of its proper divisors (179996572).

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

99929060 is a wasteful number, since it uses less digits than its factorization.

99929060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 99929060 is about 9996.4523707163. The cubic root of 99929060 is about 464.0490992930.

The spelling of 99929060 in words is "ninety-nine million, nine hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 121 140 154 170 187 220 238 242 308 340 347 374 385 476 484 595 605 694 748 770 847 935 1190 1210 1309 1388 1540 1694 1735 1870 2057 2380 2420 2429 2618 3388 3470 3740 3817 4114 4235 4858 5236 5899 6545 6940 7634 8228 8470 9716 10285 11798 12145 13090 14399 15268 16940 19085 20570 23596 24290 26180 26719 28798 29495 38170 41140 41293 41987 48580 53438 57596 58990 64889 71995 76340 82586 83974 106876 117980 129778 133595 143990 165172 167948 206465 209935 259556 267190 287980 293909 324445 412930 419870 454223 534380 587818 648890 713779 825860 839740 908446 1175636 1297780 1427558 1469545 1816892 2271115 2855116 2939090 3568895 4542230 4996453 5878180 7137790 9084460 9992906 14275580 19985812 24982265 49964530 99929060