Search a number
-
+
99994860 = 223257611301
BaseRepresentation
bin1011111010111…
…00110011101100
320222011021011100
411331130303230
5201044313420
613531123100
72322641130
oct575346354
9228137140
1099994860
1151498689
12295a3490
1317941374
14d3cd3c0
158ba3190
hex5f5ccec

99994860 has 144 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 22464000.

The previous prime is 99994849. The next prime is 99994861. The reversal of 99994860 is 6849999.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 99994797 and 99994806.

It is not an unprimeable number, because it can be changed into a prime (99994861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76210 + ... + 77510.

It is an arithmetic number, because the mean of its divisors is an integer number (2448628).

Almost surely, 299994860 is an apocalyptic number.

99994860 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 99994860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

99994860 is an abundant number, since it is smaller than the sum of its proper divisors (252607572).

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

99994860 is a wasteful number, since it uses less digits than its factorization.

99994860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 99994860 is about 9999.7429966975. The cubic root of 99994860 is about 464.1509306362.

It can be divided in two parts, 999 and 94860, that added together give a palindrome (95859).

The spelling of 99994860 in words is "ninety-nine million, nine hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1301 1708 1830 2135 2196 2562 2602 2745 3660 3843 3903 4270 5124 5204 5490 6405 6505 7686 7806 8540 9107 10980 11709 12810 13010 15372 15612 18214 19215 19515 23418 25620 26020 27321 36428 38430 39030 45535 46836 54642 58545 76860 78060 79361 81963 91070 109284 117090 136605 158722 163926 182140 234180 238083 273210 317444 327852 396805 409815 476166 546420 555527 714249 793610 819630 952332 1111054 1190415 1428498 1587220 1639260 1666581 2222108 2380830 2777635 2856996 3333162 3571245 4761660 4999743 5555270 6666324 7142490 8332905 9999486 11110540 14284980 16665810 19998972 24998715 33331620 49997430 99994860