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30796200 = 2334521901
BaseRepresentation
bin111010101111…
…0100110101000
32010221121110000
41311132212220
530340434300
63020023000
7522522561
oct165364650
963847400
1030796200
1116424706
12a391a60
1364c3506
144139168
152a84c00
hex1d5e9a8

30796200 has 120 divisors (see below), whose sum is σ = 107016030. Its totient is φ = 8208000.

The previous prime is 30796193. The next prime is 30796217. The reversal of 30796200 is 269703.

30796200 is a `hidden beast` number, since 30 + 7 + 9 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15539364 + 15256836 = 3942^2 + 3906^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15250 + ... + 17150.

Almost surely, 230796200 is an apocalyptic number.

30796200 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 30796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508015).

30796200 is an abundant number, since it is smaller than the sum of its proper divisors (76219830).

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

30796200 is a wasteful number, since it uses less digits than its factorization.

30796200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30796200 is about 5549.4324034085. The cubic root of 30796200 is about 313.4481496630.

The spelling of 30796200 in words is "thirty million, seven hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 1901 2025 2700 3240 3802 4050 5400 5703 7604 8100 9505 11406 15208 16200 17109 19010 22812 28515 34218 38020 45624 47525 51327 57030 68436 76040 85545 95050 102654 114060 136872 142575 153981 171090 190100 205308 228120 256635 285150 307962 342180 380200 410616 427725 513270 570300 615924 684360 769905 855450 1026540 1140600 1231848 1283175 1539810 1710900 2053080 2566350 3079620 3421800 3849525 5132700 6159240 7699050 10265400 15398100 30796200