Search a number
-
+
1232055440 = 245711200009
BaseRepresentation
bin100100101101111…
…1010110010010000
310011212022220022222
41021123322302100
510010401233230
6322131120212
742350204240
oct11133726220
93155286288
101232055440
11582510540
122a4743068
13168338bb5
14b98b5b20
157326d6e5
hex496fac90

1232055440 has 80 divisors (see below), whose sum is σ = 3571378560. Its totient is φ = 384015360.

The previous prime is 1232055379. The next prime is 1232055463. The reversal of 1232055440 is 445502321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

1232055440 is a modest number, since divided by 55440 gives 12320 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93845 + ... + 106164.

It is an arithmetic number, because the mean of its divisors is an integer number (44642232).

Almost surely, 21232055440 is an apocalyptic number.

1232055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232055440 is an abundant number, since it is smaller than the sum of its proper divisors (2339323120).

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

1232055440 is a wasteful number, since it uses less digits than its factorization.

1232055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200040 (or 200034 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1232055440 is about 35100.6472874789. The cubic root of 1232055440 is about 1072.0377622771.

Adding to 1232055440 its reverse (445502321), we get a palindrome (1677557761).

The spelling of 1232055440 in words is "one billion, two hundred thirty-two million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 200009 400018 800036 1000045 1400063 1600072 2000090 2200099 2800126 3200144 4000180 4400198 5600252 7000315 8000360 8800396 11000495 11200504 14000630 15400693 16000720 17600792 22000990 22401008 28001260 30801386 35201584 44001980 56002520 61602772 77003465 88003960 112005040 123205544 154006930 176007920 246411088 308013860 616027720 1232055440