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1220672160 = 25335282563
BaseRepresentation
bin100100011000001…
…1111101010100000
310011001220120102000
41020300133222200
54444443002120
6321043124000
742151353651
oct11060375240
93131816360
101220672160
11577046074
122a0973600
13165b81826
14b8191528
1572270990
hex48c1faa0

1220672160 has 96 divisors (see below), whose sum is σ = 4272367680. Its totient is φ = 325511424.

The previous prime is 1220672099. The next prime is 1220672161. The reversal of 1220672160 is 612760221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1220672161) 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 15 ways as a sum of consecutive naturals, for example, 136962 + ... + 145601.

It is an arithmetic number, because the mean of its divisors is an integer number (44503830).

Almost surely, 21220672160 is an apocalyptic number.

1220672160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220672160 is an abundant number, since it is smaller than the sum of its proper divisors (3051695520).

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

1220672160 is a wasteful number, since it uses less digits than its factorization.

1220672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282587 (or 282573 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1220672160 is about 34938.1190106165. The cubic root of 1220672160 is about 1068.7259298980.

It can be divided in two parts, 1220 and 672160, that added together give a triangular number (673380 = T1160).

The spelling of 1220672160 in words is "one billion, two hundred twenty million, six hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 282563 565126 847689 1130252 1412815 1695378 2260504 2543067 2825630 3390756 4238445 4521008 5086134 5651260 6781512 7629201 8476890 9042016 10172268 11302520 12715335 13563024 15258402 16953780 20344536 22605040 25430670 27126048 30516804 33907560 38146005 40689072 45210080 50861340 61033608 67815120 76292010 81378144 101722680 122067216 135630240 152584020 203445360 244134432 305168040 406890720 610336080 1220672160