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1166440540 = 22537711492
BaseRepresentation
bin100010110000110…
…0111100001011100
310000021212022121111
41011201213201130
54342102044130
6311424511404
740622403166
oct10541474134
93007768544
101166440540
11549475051
1228677b564
13157874305
14b0cb5936
156c60c02a
hex4586785c

1166440540 has 72 divisors (see below), whose sum is σ = 2568398112. Its totient is φ = 444568320.

The previous prime is 1166440537. The next prime is 1166440543. The reversal of 1166440540 is 450446611.

It is an interprime number because it is at equal distance from previous prime (1166440537) and next prime (1166440543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166440543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7828386 + ... + 7828534.

It is an arithmetic number, because the mean of its divisors is an integer number (35672196).

Almost surely, 21166440540 is an apocalyptic number.

1166440540 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 1166440540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284199056).

1166440540 is an abundant number, since it is smaller than the sum of its proper divisors (1401957572).

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

1166440540 is a wasteful number, since it uses less digits than its factorization.

1166440540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1166440540 is about 34153.1922373297. The cubic root of 1166440540 is about 1052.6585810556.

The spelling of 1166440540 in words is "one billion, one hundred sixty-six million, four hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 149 185 284 298 355 370 596 710 740 745 1420 1490 2627 2980 5254 5513 10508 10579 11026 13135 21158 22052 22201 26270 27565 42316 44402 52540 52895 55130 88804 105790 110260 111005 211580 222010 391423 444020 782846 821437 1565692 1576271 1642874 1957115 3152542 3285748 3914230 4107185 6305084 7828460 7881355 8214370 15762710 16428740 31525420 58322027 116644054 233288108 291610135 583220270 1166440540