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1132831440 = 243351340343
BaseRepresentation
bin100001110000101…
…1010001011010000
32220221121210121000
41003201122023100
54310001101230
6304224302000
740033623366
oct10341321320
92827553530
101132831440
115314aa034
12277471900
13150907680
14aa647636
15696bdb60
hex4385a2d0

1132831440 has 160 divisors (see below), whose sum is σ = 4202231040. Its totient is φ = 278843904.

The previous prime is 1132831423. The next prime is 1132831451. The reversal of 1132831440 is 441382311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7909 + ... + 48251.

It is an arithmetic number, because the mean of its divisors is an integer number (26263944).

Almost surely, 21132831440 is an apocalyptic number.

1132831440 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 1132831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101115520).

1132831440 is an abundant number, since it is smaller than the sum of its proper divisors (3069399600).

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

1132831440 is a wasteful number, since it uses less digits than its factorization.

1132831440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40378 (or 40366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1132831440 is about 33657.5614089910. The cubic root of 1132831440 is about 1042.4496740884.

The spelling of 1132831440 in words is "one billion, one hundred thirty-two million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 40343 80686 121029 161372 201715 242058 322744 363087 403430 484116 524459 605145 645488 726174 806860 968232 1048918 1089261 1210290 1452348 1573377 1613720 1815435 1936464 2097836 2178522 2420580 2622295 2904696 3146754 3227440 3630870 4195672 4357044 4720131 4841160 5244590 5446305 5809392 6293508 7261740 7866885 8391344 8714088 9440262 9682320 10489180 10892610 12587016 14160393 14523480 15733770 17428176 18880524 20978360 21785220 23600655 25174032 28320786 29046960 31467540 37761048 41956720 43570440 47201310 56641572 62935080 70801965 75522096 87140880 94402620 113283144 125870160 141603930 188805240 226566288 283207860 377610480 566415720 1132831440