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1130893392 = 243313532153
BaseRepresentation
bin100001101101000…
…0001000001010000
32220210222100002110
41003122001001100
54304002042032
6304114545320
740011302166
oct10332010120
92823870073
101130893392
115303a5a42
12276898240
131503a94b5
14aa2a1236
15694397cc
hex43681050

1130893392 has 80 divisors (see below), whose sum is σ = 3025663488. Its totient is φ = 363601920.

The previous prime is 1130893373. The next prime is 1130893399. The reversal of 1130893392 is 2933980311.

It is a self number, because there is not a number n which added to its sum of digits gives 1130893392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130893399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524188 + ... + 526340.

Almost surely, 21130893392 is an apocalyptic number.

1130893392 is a gapful number since it is divisible by the number (12) 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 1130893392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512831744).

1130893392 is an abundant number, since it is smaller than the sum of its proper divisors (1894770096).

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

1130893392 is a wasteful number, since it uses less digits than its factorization.

1130893392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1130893392 is about 33628.7584070539. The cubic root of 1130893392 is about 1041.8548604646.

The spelling of 1130893392 in words is "one billion, one hundred thirty million, eight hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 353 372 496 706 744 1059 1412 1488 2118 2153 2824 4236 4306 5648 6459 8472 8612 10943 12918 16944 17224 21886 25836 32829 34448 43772 51672 65658 66743 87544 103344 131316 133486 175088 200229 262632 266972 400458 525264 533944 760009 800916 1067888 1520018 1601832 2280027 3040036 3203664 4560054 6080072 9120108 12160144 18240216 23560279 36480432 47120558 70680837 94241116 141361674 188482232 282723348 376964464 565446696 1130893392