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1138470240 = 253516314551
BaseRepresentation
bin100001111011011…
…1010110101100000
32221100020021120110
41003312322311200
54312422021430
6304545211320
740132560135
oct10366726540
92840207513
101138470240
115347005a6
12279330b40
13151b3013b
14ab2b458c
1569e347b0
hex43dbad60

1138470240 has 96 divisors (see below), whose sum is σ = 3608430336. Its totient is φ = 301708800.

The previous prime is 1138470217. The next prime is 1138470301. The reversal of 1138470240 is 420748311.

1138470240 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11384702402 = 2592228974731315200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1138470198 and 1138470207.

It is a congruent number.

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, 70965 + ... + 85515.

It is an arithmetic number, because the mean of its divisors is an integer number (37587816).

Almost surely, 21138470240 is an apocalyptic number.

1138470240 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 1138470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804215168).

1138470240 is an abundant number, since it is smaller than the sum of its proper divisors (2469960096).

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

1138470240 is a wasteful number, since it uses less digits than its factorization.

1138470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14732 (or 14724 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1138470240 is about 33741.2246369334. The cubic root of 1138470240 is about 1044.1764502627.

The spelling of 1138470240 in words is "one billion, one hundred thirty-eight million, four hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5216 6520 7824 9780 13040 14551 15648 19560 26080 29102 39120 43653 58204 72755 78240 87306 116408 145510 174612 218265 232816 291020 349224 436530 465632 582040 698448 873060 1164080 1396896 1746120 2328160 2371813 3492240 4743626 6984480 7115439 9487252 11859065 14230878 18974504 23718130 28461756 35577195 37949008 47436260 56923512 71154390 75898016 94872520 113847024 142308780 189745040 227694048 284617560 379490080 569235120 1138470240