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1221906720 = 253519133981
BaseRepresentation
bin100100011010100…
…1101000100100000
310011011020021220110
41020311031010200
510000302003340
6321125411320
742165015156
oct11065150440
93134207813
101221906720
11577809671
122a1269b40
131661c4738
14b83d33d6
1572416680
hex48d4d120

1221906720 has 96 divisors (see below), whose sum is σ = 4051615680. Its totient is φ = 308689920.

The previous prime is 1221906683. The next prime is 1221906727. The reversal of 1221906720 is 276091221.

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

It is a super-3 number, since 3×12219067203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1221906727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57871 + ... + 76110.

It is an arithmetic number, because the mean of its divisors is an integer number (42204330).

Almost surely, 21221906720 is an apocalyptic number.

1221906720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221906720 is an abundant number, since it is smaller than the sum of its proper divisors (2829708960).

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

1221906720 is a wasteful number, since it uses less digits than its factorization.

1221906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134018 (or 134010 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1221906720 is about 34955.7823542830. The cubic root of 1221906720 is about 1069.0861035169.

Adding to 1221906720 its reverse (276091221), we get a palindrome (1497997941).

The spelling of 1221906720 in words is "one billion, two hundred twenty-one million, nine hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 133981 267962 401943 535924 669905 803886 1071848 1339810 1607772 2009715 2143696 2545639 2679620 3215544 4019430 4287392 5091278 5359240 6431088 7636917 8038860 10182556 10718480 12728195 12862176 15273834 16077720 20365112 21436960 25456390 30547668 32155440 38184585 40730224 50912780 61095336 64310880 76369170 81460448 101825560 122190672 152738340 203651120 244381344 305476680 407302240 610953360 1221906720