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1125742740 = 2235414431033
BaseRepresentation
bin100001100011001…
…0111100010010100
32220110021122201120
41003012113202110
54301142231430
6303412323540
736616440543
oct10306274224
92813248646
101125742740
115284a8201
122750135b0
1314c2c4c85
14a972015a
1568c6d610
hex43197894

1125742740 has 96 divisors (see below), whose sum is σ = 3239381376. Its totient is φ = 291932160.

The previous prime is 1125742729. The next prime is 1125742741. The reversal of 1125742740 is 472475211.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125742741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089264 + ... + 1090296.

It is an arithmetic number, because the mean of its divisors is an integer number (33743556).

Almost surely, 21125742740 is an apocalyptic number.

1125742740 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 1125742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619690688).

1125742740 is an abundant number, since it is smaller than the sum of its proper divisors (2113638636).

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

1125742740 is a wasteful number, since it uses less digits than its factorization.

1125742740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 1125742740 is about 33552.0899498079. The cubic root of 1125742740 is about 1040.2707443529.

The spelling of 1125742740 in words is "one billion, one hundred twenty-five million, seven hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 443 492 615 820 886 1033 1230 1329 1772 2066 2215 2460 2658 3099 4132 4430 5165 5316 6198 6645 8860 10330 12396 13290 15495 18163 20660 26580 30990 36326 42353 54489 61980 72652 84706 90815 108978 127059 169412 181630 211765 217956 254118 272445 363260 423530 457619 508236 544890 635295 847060 915238 1089780 1270590 1372857 1830476 2288095 2541180 2745714 4576190 5491428 6864285 9152380 13728570 18762379 27457140 37524758 56287137 75049516 93811895 112574274 187623790 225148548 281435685 375247580 562871370 1125742740