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1138028712 = 2331943127457
BaseRepresentation
bin100001111010100…
…1111000010101000
32221022101211220120
41003311033002220
54312313404322
6304531523240
740126040652
oct10365170250
92838354816
101138028712
115344298a7
12279159520
13151a07192
14ab1db6d2
1569d98a5c
hex43d4f0a8

1138028712 has 128 divisors (see below), whose sum is σ = 3095347200. Its totient is φ = 347493888.

The previous prime is 1138028699. The next prime is 1138028713. The reversal of 1138028712 is 2178208311.

It is not an unprimeable number, because it can be changed into a prime (1138028713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2489988 + ... + 2490444.

It is an arithmetic number, because the mean of its divisors is an integer number (24182400).

Almost surely, 21138028712 is an apocalyptic number.

1138028712 is a gapful number since it is divisible by the number (12) 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 1138028712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547673600).

1138028712 is an abundant number, since it is smaller than the sum of its proper divisors (1957318488).

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

1138028712 is a wasteful number, since it uses less digits than its factorization.

1138028712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1138028712 is about 33734.6811456697. The cubic root of 1138028712 is about 1044.0414466598.

The spelling of 1138028712 in words is "one billion, one hundred thirty-eight million, twenty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 127 129 152 172 228 254 258 344 381 456 457 508 516 762 817 914 1016 1032 1371 1524 1634 1828 2413 2451 2742 3048 3268 3656 4826 4902 5461 5484 6536 7239 8683 9652 9804 10922 10968 14478 16383 17366 19304 19608 19651 21844 26049 28956 32766 34732 39302 43688 52098 57912 58039 58953 65532 69464 78604 103759 104196 116078 117906 131064 157208 174117 207518 208392 232156 235812 311277 348234 373369 415036 464312 471624 622554 696468 746738 830072 1102741 1120107 1245108 1392936 1493476 2205482 2240214 2490216 2495677 2986952 3308223 4410964 4480428 4991354 6616446 7487031 8821928 8960856 9982708 13232892 14974062 19965416 26465784 29948124 47417863 59896248 94835726 142253589 189671452 284507178 379342904 569014356 1138028712