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1082751680 = 265231311123
BaseRepresentation
bin100000010001001…
…0111101011000000
32210110101111002002
41000202113223000
54204141023210
6255235043132
735555144303
oct10042275300
92713344062
101082751680
115062043aa
122627404a8
13143421b8a
14a3b2cb3a
15650ca4a5
hex40897ac0

1082751680 has 112 divisors (see below), whose sum is σ = 2713353984. Its totient is φ = 410741760.

The previous prime is 1082751671. The next prime is 1082751701. The reversal of 1082751680 is 861572801.

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 15 ways as a sum of consecutive naturals, for example, 963599 + ... + 964721.

Almost surely, 21082751680 is an apocalyptic number.

1082751680 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 1082751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356676992).

1082751680 is an abundant number, since it is smaller than the sum of its proper divisors (1630602304).

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

1082751680 is a wasteful number, since it uses less digits than its factorization.

1082751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 1082751680 is about 32905.1922954418. The cubic root of 1082751680 is about 1026.8561821020.

The spelling of 1082751680 in words is "one billion, eighty-two million, seven hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 131 160 184 230 262 320 368 460 524 655 736 920 1048 1123 1310 1472 1840 2096 2246 2620 3013 3680 4192 4492 5240 5615 6026 7360 8384 8984 10480 11230 12052 15065 17968 20960 22460 24104 25829 30130 35936 41920 44920 48208 51658 60260 71872 89840 96416 103316 120520 129145 147113 179680 192832 206632 241040 258290 294226 359360 413264 482080 516580 588452 735565 826528 964160 1033160 1176904 1471130 1653056 2066320 2353808 2942260 3383599 4132640 4707616 5884520 6767198 8265280 9415232 11769040 13534396 16917995 23538080 27068792 33835990 47076160 54137584 67671980 108275168 135343960 216550336 270687920 541375840 1082751680