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1039809680 = 245713210987
BaseRepresentation
bin111101111110100…
…011110010010000
32200110120210201122
4331332203302100
54112142402210
6251102421412
734524144050
oct7576436220
92613523648
101039809680
11493a44448
12250291868
13137568200
149c151560
1561446b55
hex3dfa3c90

1039809680 has 120 divisors (see below), whose sum is σ = 2992076352. Its totient is φ = 329052672.

The previous prime is 1039809643. The next prime is 1039809731. The reversal of 1039809680 is 869089301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89147 + ... + 100133.

Almost surely, 21039809680 is an apocalyptic number.

1039809680 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 1039809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496038176).

1039809680 is an abundant number, since it is smaller than the sum of its proper divisors (1952266672).

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

1039809680 is a wasteful number, since it uses less digits than its factorization.

1039809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 1039809680 is about 32246.0800718475. The cubic root of 1039809680 is about 1013.0975973262.

The spelling of 1039809680 in words is "one billion, thirty-nine million, eight hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 10987 11830 13520 18928 21974 23660 43948 47320 54935 76909 87896 94640 109870 142831 153818 175792 219740 285662 307636 384545 439480 571324 615272 714155 769090 878960 999817 1142648 1230544 1428310 1538180 1856803 1999634 2285296 2856620 3076360 3713606 3999268 4999085 5713240 6152720 7427212 7998536 9284015 9998170 11426480 12997621 14854424 15997072 18568030 19996340 25995242 29708848 37136060 39992680 51990484 64988105 74272120 79985360 103980968 129976210 148544240 207961936 259952420 519904840 1039809680