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1145565640 = 235731492633
BaseRepresentation
bin100010001000111…
…1111000111001000
32221211120202122001
41010101333013020
54321231100030
6305401240344
740250101342
oct10421770710
92854522561
101145565640
1153870746a
1227b7930b4
131534458bb
14ac200292
156a886cca
hex4447f1c8

1145565640 has 64 divisors (see below), whose sum is σ = 2631366000. Its totient is φ = 448745472.

The previous prime is 1145565611. The next prime is 1145565667. The reversal of 1145565640 is 465655411.

It can be written as a sum of positive squares in 8 ways, for example, as 131652676 + 1013912964 = 11474^2 + 31842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1145565640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433764 + ... + 436396.

Almost surely, 21145565640 is an apocalyptic number.

1145565640 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 1145565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315683000).

1145565640 is an abundant number, since it is smaller than the sum of its proper divisors (1485800360).

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

1145565640 is a wasteful number, since it uses less digits than its factorization.

1145565640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 1145565640 is about 33846.2056957645. The cubic root of 1145565640 is about 1046.3412004581.

The spelling of 1145565640 in words is "one billion, one hundred forty-five million, five hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 149 292 298 365 584 596 730 745 1192 1460 1490 2633 2920 2980 5266 5960 10532 10877 13165 21064 21754 26330 43508 52660 54385 87016 105320 108770 192209 217540 384418 392317 435080 768836 784634 961045 1537672 1569268 1922090 1961585 3138536 3844180 3923170 7688360 7846340 15692680 28639141 57278282 114556564 143195705 229113128 286391410 572782820 1145565640