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1158924420 = 2232514334493
BaseRepresentation
bin100010100010011…
…1100100010000100
32222202201110102200
41011010330202010
54333141040140
6310555434500
740501460253
oct10504744204
92882643380
101158924420
11545201085
12284155a30
131561421c4
14adcba79a
156bb25030
hex4513c884

1158924420 has 72 divisors (see below), whose sum is σ = 3518640216. Its totient is φ = 308762112.

The previous prime is 1158924413. The next prime is 1158924439. The reversal of 1158924420 is 244298511.

1158924420 is a `hidden beast` number, since 11 + 589 + 2 + 44 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670602816 + 488321604 = 25896^2 + 22098^2 .

It is a super-2 number, since 2×11589244202 = 2686211622544672800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255694 + ... + 260186.

It is an arithmetic number, because the mean of its divisors is an integer number (48870003).

Almost surely, 21158924420 is an apocalyptic number.

1158924420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1158924420 is an abundant number, since it is smaller than the sum of its proper divisors (2359715796).

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

1158924420 is a wasteful number, since it uses less digits than its factorization.

1158924420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1158924420 is about 34042.9790118315. The cubic root of 1158924420 is about 1050.3927238424.

The spelling of 1158924420 in words is "one billion, one hundred fifty-eight million, nine hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1433 2866 4299 4493 5732 7165 8598 8986 12897 13479 14330 17196 17972 21495 22465 25794 26958 28660 40437 42990 44930 51588 53916 64485 67395 80874 85980 89860 128970 134790 161748 202185 257940 269580 404370 808740 6438469 12876938 19315407 25753876 32192345 38630814 57946221 64384690 77261628 96577035 115892442 128769380 193154070 231784884 289731105 386308140 579462210 1158924420