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1145005770 = 235314130029
BaseRepresentation
bin100010000111111…
…0110011011001010
32221210112022122010
41010033312123022
54321110141040
6305341240350
740242250146
oct10417663312
92853468563
101145005770
11538364867
1227b5630b6
131532aab0c
14ac0d6226
156a7c5e80
hex443f66ca

1145005770 has 64 divisors (see below), whose sum is σ = 2905943040. Its totient is φ = 288268800.

The previous prime is 1145005747. The next prime is 1145005787. The reversal of 1145005770 is 775005411.

1145005770 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11450057703 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23116 + ... + 53144.

It is an arithmetic number, because the mean of its divisors is an integer number (45405360).

Almost surely, 21145005770 is an apocalyptic number.

1145005770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145005770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452971520).

1145005770 is an abundant number, since it is smaller than the sum of its proper divisors (1760937270).

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

1145005770 is a wasteful number, since it uses less digits than its factorization.

1145005770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30111.

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 1145005770 is about 33837.9338908273. The cubic root of 1145005770 is about 1046.1707139351.

The spelling of 1145005770 in words is "one billion, one hundred forty-five million, five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 1230 1271 2542 3813 6355 7626 12710 19065 30029 38130 60058 90087 150145 180174 300290 450435 900870 930899 1231189 1861798 2462378 2792697 3693567 4654495 5585394 6155945 7387134 9308990 12311890 13963485 18467835 27926970 36935670 38166859 76333718 114500577 190834295 229001154 381668590 572502885 1145005770