Search a number
-
+
30099060 = 22335139401
BaseRepresentation
bin111001011010…
…0011001110100
32002122012011000
41302310121310
530201132220
62553043300
7513560235
oct162643164
962565130
1030099060
1115a98962
12a0b6530
13630b0c4
143dd708c
152998390
hex1cb4674

30099060 has 96 divisors (see below), whose sum is σ = 94550400. Its totient is φ = 7948800.

The previous prime is 30099053. The next prime is 30099067. The reversal of 30099060 is 6099003.

It is an interprime number because it is at equal distance from previous prime (30099053) and next prime (30099067).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30099067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74860 + ... + 75260.

It is an arithmetic number, because the mean of its divisors is an integer number (984900).

Almost surely, 230099060 is an apocalyptic number.

30099060 is a gapful number since it is divisible by the number (30) 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 30099060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47275200).

30099060 is an abundant number, since it is smaller than the sum of its proper divisors (64451340).

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

30099060 is a wasteful number, since it uses less digits than its factorization.

30099060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30099060 is about 5486.2610218618. The cubic root of 30099060 is about 311.0648775779.

The spelling of 30099060 in words is "thirty million, ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 401 417 540 556 695 802 834 1203 1251 1390 1604 1668 2005 2085 2406 2502 2780 3609 3753 4010 4170 4812 5004 6015 6255 7218 7506 8020 8340 10827 12030 12510 14436 15012 18045 18765 21654 24060 25020 36090 37530 43308 54135 55739 72180 75060 108270 111478 167217 216540 222956 278695 334434 501651 557390 668868 836085 1003302 1114780 1504953 1672170 2006604 2508255 3009906 3344340 5016510 6019812 7524765 10033020 15049530 30099060