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1128580040 = 235715126693
BaseRepresentation
bin100001101000100…
…1100001111001000
32220122121210202202
41003101030033020
54302404030130
6303553215332
736652525550
oct10321141710
92818553682
101128580040
1152a065985
12275b61548
1314ca79553
14a9c5c160
156912e145
hex4344c3c8

1128580040 has 64 divisors (see below), whose sum is σ = 2921391360. Its totient is φ = 384364800.

The previous prime is 1128580001. The next prime is 1128580049. The reversal of 1128580040 is 400858211.

It is a junction number, because it is equal to n+sod(n) for n = 1128579985 and 1128580012.

It is not an unprimeable number, because it can be changed into a prime (1128580049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28934 + ... + 55626.

It is an arithmetic number, because the mean of its divisors is an integer number (45646740).

Almost surely, 21128580040 is an apocalyptic number.

1128580040 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 1128580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460695680).

1128580040 is an abundant number, since it is smaller than the sum of its proper divisors (1792811320).

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

1128580040 is a wasteful number, since it uses less digits than its factorization.

1128580040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26862 (or 26858 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 1128580040 is about 33594.3453575152. The cubic root of 1128580040 is about 1041.1439704935.

The spelling of 1128580040 in words is "one billion, one hundred twenty-eight million, five hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 21140 26693 42280 53386 106772 133465 186851 213544 266930 373702 533860 747404 934255 1067720 1494808 1868510 3737020 4030643 7474040 8061286 16122572 20153215 28214501 32245144 40306430 56429002 80612860 112858004 141072505 161225720 225716008 282145010 564290020 1128580040