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1138132240 = 24573475857
BaseRepresentation
bin100001111010110…
…1000010100010000
32221022121002220221
41003311220110100
54312330212430
6304534042424
740126651540
oct10365502420
92838532827
101138132240
1153449a663
122791a9414
13151a4233b
14ab227320
1569db957a
hex43d68510

1138132240 has 80 divisors (see below), whose sum is σ = 3033412992. Its totient is φ = 389025792.

The previous prime is 1138132211. The next prime is 1138132277. The reversal of 1138132240 is 422318311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 191392 + ... + 197248.

Almost surely, 21138132240 is an apocalyptic number.

1138132240 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 1138132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516706496).

1138132240 is an abundant number, since it is smaller than the sum of its proper divisors (1895280752).

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

1138132240 is a wasteful number, since it uses less digits than its factorization.

1138132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1138132240 is about 33736.2155553939. The cubic root of 1138132240 is about 1044.0731049839.

The spelling of 1138132240 in words is "one billion, one hundred thirty-eight million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 347 560 694 1388 1735 2429 2776 3470 4858 5552 5857 6940 9716 11714 12145 13880 19432 23428 24290 27760 29285 38864 40999 46856 48580 58570 81998 93712 97160 117140 163996 194320 204995 234280 327992 409990 468560 655984 819980 1639960 2032379 3279920 4064758 8129516 10161895 14226653 16259032 20323790 28453306 32518064 40647580 56906612 71133265 81295160 113813224 142266530 162590320 227626448 284533060 569066120 1138132240