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1047048320 = 2752383857
BaseRepresentation
bin111110011010001…
…011000010000000
32200222012120021102
4332122023002000
54121021021240
6251521513532
734642523003
oct7632130200
92628176242
101047048320
1149803899a
122527a28a8
13138c00c26
149d0b753a
1561dc6815
hex3e68b080

1047048320 has 128 divisors (see below), whose sum is σ = 2646483840. Its totient is φ = 395321344.

The previous prime is 1047048307. The next prime is 1047048391. The reversal of 1047048320 is 238407401.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221332 + ... + 1222188.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 21047048320 is an apocalyptic number.

1047048320 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 1047048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

1047048320 is an abundant number, since it is smaller than the sum of its proper divisors (1599435520).

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

1047048320 is an equidigital number, since it uses as much as digits as its factorization.

1047048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 1047048320 is about 32358.1260273212. The cubic root of 1047048320 is about 1015.4430576425.

The spelling of 1047048320 in words is "one billion, forty-seven million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 128 160 166 184 230 320 332 368 415 460 640 664 736 830 857 920 1328 1472 1660 1714 1840 1909 2656 2944 3320 3428 3680 3818 4285 5312 6640 6856 7360 7636 8570 9545 10624 13280 13712 14720 15272 17140 19090 19711 26560 27424 30544 34280 38180 39422 53120 54848 61088 68560 71131 76360 78844 98555 109696 122176 137120 142262 152720 157688 197110 244352 274240 284524 305440 315376 355655 394220 548480 569048 610880 630752 711310 788440 1138096 1221760 1261504 1422620 1576880 1636013 2276192 2523008 2845240 3153760 3272026 4552384 5690480 6307520 6544052 8180065 9104768 11380960 12615040 13088104 16360130 22761920 26176208 32720260 45523840 52352416 65440520 104704832 130881040 209409664 261762080 523524160 1047048320