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1135917420 = 22351110131699
BaseRepresentation
bin100001110110100…
…1011100101101100
32221011102120202120
41003231023211230
54311243324140
6304414352540
740102065411
oct10355134554
92834376676
101135917420
11533217630
122784bb750
131514481b1
14aac0c108
1569acd1d0
hex43b4b96c

1135917420 has 96 divisors (see below), whose sum is σ = 3475180800. Its totient is φ = 274940160.

The previous prime is 1135917323. The next prime is 1135917421. The reversal of 1135917420 is 247195311.

1135917420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1135917421) 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, 667731 + ... + 669429.

It is an arithmetic number, because the mean of its divisors is an integer number (36199800).

Almost surely, 21135917420 is an apocalyptic number.

1135917420 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 1135917420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737590400).

1135917420 is an abundant number, since it is smaller than the sum of its proper divisors (2339263380).

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

1135917420 is a wasteful number, since it uses less digits than its factorization.

1135917420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1135917420 is about 33703.3740150745. The cubic root of 1135917420 is about 1043.3954052856.

The spelling of 1135917420 in words is "one billion, one hundred thirty-five million, nine hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1013 1699 2026 3039 3398 4052 5065 5097 6078 6796 8495 10130 10194 11143 12156 15195 16990 18689 20260 20388 22286 25485 30390 33429 33980 37378 44572 50970 55715 56067 60780 66858 74756 93445 101940 111430 112134 133716 167145 186890 222860 224268 280335 334290 373780 560670 668580 1121340 1721087 3442174 5163261 6884348 8605435 10326522 17210870 18931957 20653044 25816305 34421740 37863914 51632610 56795871 75727828 94659785 103265220 113591742 189319570 227183484 283979355 378639140 567958710 1135917420