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1081022976 = 2933117109
BaseRepresentation
bin100000001101111…
…0001101000000000
32210100010122202000
41000123301220000
54203220213401
6255134024000
735534354325
oct10033615000
92710118660
101081022976
11505233620
12262048000
13142c68087
14a37dcb4c
1564d88186
hex406f1a00

1081022976 has 160 divisors (see below), whose sum is σ = 3491294400. Its totient is φ = 327536640.

The previous prime is 1081022951. The next prime is 1081022981. The reversal of 1081022976 is 6792201801.

It is a super-2 number, since 2×10810229762 = 2337221349279793152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1081022976.

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, 148510 + ... + 155618.

It is an arithmetic number, because the mean of its divisors is an integer number (21820590).

Almost surely, 21081022976 is an apocalyptic number.

1081022976 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 1081022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745647200).

1081022976 is an abundant number, since it is smaller than the sum of its proper divisors (2410271424).

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

1081022976 is an equidigital number, since it uses as much as digits as its factorization.

1081022976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1081022976 is about 32878.9138506734. The cubic root of 1081022976 is about 1026.3094036252.

The spelling of 1081022976 in words is "one billion, eighty-one million, twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 7109 8448 9504 12672 13824 14218 16896 19008 21327 25344 28436 38016 42654 50688 56872 63981 76032 78199 85308 113744 127962 152064 156398 170616 191943 227488 234597 255924 312796 341232 383886 454976 469194 511848 625592 682464 703791 767772 909952 938388 1023696 1251184 1364928 1407582 1535544 1819904 1876776 2047392 2111373 2502368 2729856 2815164 3071088 3639808 3753552 4094784 4222746 5004736 5459712 5630328 6142176 7507104 8189568 8445492 10009472 10919424 11260656 12284352 15014208 16379136 16890984 20018944 22521312 24568704 30028416 32758272 33781968 40037888 45042624 49137408 60056832 67563936 90085248 98274816 120113664 135127872 180170496 270255744 360340992 540511488 1081022976