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1070923776 = 216313419
BaseRepresentation
bin111111110101010…
…000000000000000
32202122010120020120
4333311100000000
54143124030101
6254133340240
735352462516
oct7765200000
92678116216
101070923776
114aa56597a
1225a797680
13140b40310
14a23304b6
1564040b36
hex3fd50000

1070923776 has 136 divisors (see below), whose sum is σ = 3082789920. Its totient is φ = 328728576.

The previous prime is 1070923759. The next prime is 1070923831. The reversal of 1070923776 is 6773290701.

It is a super-2 number, since 2×10709237762 = 2293755468004196352, which contains 22 as substring.

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555695 + ... + 2556113.

Almost surely, 21070923776 is an apocalyptic number.

1070923776 is a gapful number since it is divisible by the number (16) 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 1070923776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541394960).

1070923776 is an abundant number, since it is smaller than the sum of its proper divisors (2011866144).

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

1070923776 is an frugal number, since it uses more digits than its factorization.

1070923776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 1070923776 is about 32724.9717494148. The cubic root of 1070923776 is about 1023.1033818136.

The spelling of 1070923776 in words is "one billion, seventy million, nine hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 419 512 624 768 832 838 1024 1248 1257 1536 1664 1676 2048 2496 2514 3072 3328 3352 4096 4992 5028 5447 6144 6656 6704 8192 9984 10056 10894 12288 13312 13408 16341 16384 19968 20112 21788 24576 26624 26816 32682 32768 39936 40224 43576 49152 53248 53632 65364 65536 79872 80448 87152 98304 106496 107264 130728 159744 160896 174304 196608 212992 214528 261456 319488 321792 348608 425984 429056 522912 638976 643584 697216 851968 858112 1045824 1277952 1287168 1394432 1716224 2091648 2555904 2574336 2788864 3432448 4183296 5148672 5577728 6864896 8366592 10297344 11155456 13729792 16733184 20594688 22310912 27459584 33466368 41189376 44621824 66932736 82378752 89243648 133865472 178487296 267730944 356974592 535461888 1070923776