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1069920096 = 253721911971
BaseRepresentation
bin111111110001011…
…010111101100000
32202120020120110020
4333301122331200
54142344420341
6254100033440
735341112400
oct7761327540
92676216406
101069920096
114a9a3a893
1225a392880
1314087b51b
14a214c800
1563de3566
hex3fc5af60

1069920096 has 144 divisors (see below), whose sum is σ = 3439316160. Its totient is φ = 289578240.

The previous prime is 1069920091. The next prime is 1069920151. The reversal of 1069920096 is 6900299601.

It is a happy number.

It is a super-2 number, since 2×10699200962 = 2289458023649298432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069920091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83391 + ... + 95361.

It is an arithmetic number, because the mean of its divisors is an integer number (23884140).

Almost surely, 21069920096 is an apocalyptic number.

1069920096 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 1069920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719658080).

1069920096 is an abundant number, since it is smaller than the sum of its proper divisors (2369396064).

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

1069920096 is a wasteful number, since it uses less digits than its factorization.

1069920096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12017 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 1069920096 is about 32709.6330765113. The cubic root of 1069920096 is about 1022.7836611546.

The spelling of 1069920096 in words is "one billion, sixty-nine million, nine hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 11971 12768 14896 22344 23942 29792 35913 44688 47884 71826 83797 89376 95768 143652 167594 191536 227449 251391 287304 335188 383072 454898 502782 574608 586579 670376 682347 909796 1005564 1149216 1173158 1340752 1364694 1592143 1759737 1819592 2011128 2346316 2681504 2729388 3184286 3519474 3639184 4022256 4692632 4776429 5458776 6368572 7038948 7278368 8044512 9385264 9552858 10917552 11145001 12737144 14077896 18770528 19105716 21835104 22290002 25474288 28155792 33435003 38211432 44580004 50948576 56311584 66870006 76422864 89160008 133740012 152845728 178320016 267480024 356640032 534960048 1069920096