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1073896680 = 2335232913417
BaseRepresentation
bin100000000000010…
…0101110011101000
32202211201121022010
41000000211303220
54144404143210
6254321155520
735416654053
oct10000456350
92684647263
101073896680
1150120651a
1225b78bba0
1314164152c
14a28a5a9a
156442b920
hex40025ce8

1073896680 has 128 divisors (see below), whose sum is σ = 3477945600. Its totient is φ = 264456192.

The previous prime is 1073896679. The next prime is 1073896693. The reversal of 1073896680 is 866983701.

1073896680 = T4264 + T4265 + ... + T4378.

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, 73332 + ... + 86748.

It is an arithmetic number, because the mean of its divisors is an integer number (27171450).

Almost surely, 21073896680 is an apocalyptic number.

1073896680 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 1073896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738972800).

1073896680 is an abundant number, since it is smaller than the sum of its proper divisors (2404048920).

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

1073896680 is a wasteful number, since it uses less digits than its factorization.

1073896680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13483 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1073896680 is about 32770.3628298498. The cubic root of 1073896680 is about 1024.0492250303.

The spelling of 1073896680 in words is "one billion, seventy-three million, eight hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 13417 16008 20010 26680 26834 40020 40251 53668 67085 80040 80502 107336 134170 161004 201255 268340 308591 322008 389093 402510 536680 617182 778186 805020 925773 1167279 1234364 1542955 1556372 1610040 1851546 1945465 2334558 2468728 3085910 3112744 3703092 3890930 4628865 4669116 5836395 6171820 7406184 7781860 8949139 9257730 9338232 11672790 12343640 15563720 17898278 18515460 23345580 26847417 35796556 37030920 44745695 46691160 53694834 71593112 89491390 107389668 134237085 178982780 214779336 268474170 357965560 536948340 1073896680