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1041340960 = 255114114431
BaseRepresentation
bin111110000100011…
…001101000100000
32200120110121020201
4332010121220200
54113040402320
6251155314544
734543152322
oct7604315040
92616417221
101041340960
1149489a970
122508aba54
131379831aa
149c42d612
156164a70a
hex3e119a20

1041340960 has 96 divisors (see below), whose sum is σ = 2749469184. Its totient is φ = 369408000.

The previous prime is 1041340907. The next prime is 1041340969. The reversal of 1041340960 is 690431401.

It is not an unprimeable number, because it can be changed into a prime (1041340969) 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, 64945 + ... + 79375.

It is an arithmetic number, because the mean of its divisors is an integer number (28640304).

Almost surely, 21041340960 is an apocalyptic number.

1041340960 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 1041340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374734592).

1041340960 is an abundant number, since it is smaller than the sum of its proper divisors (1708128224).

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

1041340960 is a wasteful number, since it uses less digits than its factorization.

1041340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14498 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1041340960 is about 32269.8149979203. The cubic root of 1041340960 is about 1013.5946675157.

The spelling of 1041340960 in words is "one billion, forty-one million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 6560 7216 9020 14431 14432 18040 28862 36080 57724 72155 72160 115448 144310 158741 230896 288620 317482 461792 577240 591671 634964 793705 1154480 1183342 1269928 1587410 2308960 2366684 2539856 2958355 3174820 4733368 5079712 5916710 6349640 6508381 9466736 11833420 12699280 13016762 18933472 23666840 25398560 26033524 32541905 47333680 52067048 65083810 94667360 104134096 130167620 208268192 260335240 520670480 1041340960