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1213025040 = 243253154347
BaseRepresentation
bin100100001001101…
…0100101100010000
310010112112001112100
41020103110230100
54441013300130
6320211200400
742026354103
oct11023245420
93115461470
101213025040
115727a2737
1229a2a6100
13164404bc6
14b716073a
157175ec60
hex484d4b10

1213025040 has 120 divisors (see below), whose sum is σ = 4205230848. Its totient is φ = 313032960.

The previous prime is 1213025029. The next prime is 1213025063. The reversal of 1213025040 is 405203121.

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 (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4854 + ... + 49493.

Almost surely, 21213025040 is an apocalyptic number.

1213025040 is a gapful number since it is divisible by the number (10) 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 1213025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102615424).

1213025040 is an abundant number, since it is smaller than the sum of its proper divisors (2992205808).

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

1213025040 is a wasteful number, since it uses less digits than its factorization.

1213025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54397 (or 54388 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1213025040 is about 34828.5090120149. The cubic root of 1213025040 is about 1066.4895113777.

Adding to 1213025040 its reverse (405203121), we get a palindrome (1618228161).

The spelling of 1213025040 in words is "one billion, two hundred thirteen million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 54347 108694 163041 217388 271735 326082 434776 489123 543470 652164 815205 869552 978246 1086940 1304328 1630410 1684757 1956492 2173880 2445615 2608656 3260820 3369514 3912984 4347760 4891230 5054271 6521640 6739028 7825968 8423785 9782460 10108542 13043280 13478056 15162813 16847570 19564920 20217084 25271355 26956112 30325626 33695140 39129840 40434168 50542710 60651252 67390280 75814065 80868336 101085420 121302504 134780560 151628130 202170840 242605008 303256260 404341680 606512520 1213025040