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1128714240 = 2123518371
BaseRepresentation
bin100001101000110…
…1101000000000000
32220122212121212010
41003101231000000
54302422323430
6304000132520
736653625033
oct10321550000
92818777763
101128714240
1152a147795
12276007140
1314cac5664
14a9c9501a
1569158cb0
hex4346d000

1128714240 has 104 divisors (see below), whose sum is σ = 3611641248. Its totient is φ = 300974080.

The previous prime is 1128714233. The next prime is 1128714253. The reversal of 1128714240 is 424178211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 1128714198 and 1128714207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52255 + ... + 70625.

Almost surely, 21128714240 is an apocalyptic number.

1128714240 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 1128714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805820624).

1128714240 is an abundant number, since it is smaller than the sum of its proper divisors (2482927008).

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

1128714240 is an equidigital number, since it uses as much as digits as its factorization.

1128714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403 (or 18381 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1128714240 is about 33596.3426580930. The cubic root of 1128714240 is about 1041.1852365027.

The spelling of 1128714240 in words is "one billion, one hundred twenty-eight million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 18371 20480 30720 36742 55113 61440 73484 91855 110226 146968 183710 220452 275565 293936 367420 440904 551130 587872 734840 881808 1102260 1175744 1469680 1763616 2204520 2351488 2939360 3527232 4409040 4702976 5878720 7054464 8818080 9405952 11757440 14108928 17636160 18811904 23514880 28217856 35272320 37623808 47029760 56435712 70544640 75247616 94059520 112871424 141089280 188119040 225742848 282178560 376238080 564357120 1128714240