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1923004096 = 261317791721
BaseRepresentation
bin111001010011110…
…1011011011000000
311222000110201200221
41302213223123000
512414242112341
6514452352424
765440156636
oct16247533300
94860421627
101923004096
118a7538492
12458015714
13248529460
14143575356
15b3c53ed1
hex729eb6c0

1923004096 has 112 divisors (see below), whose sum is σ = 4408871040. Its totient is φ = 824279040.

The previous prime is 1923004087. The next prime is 1923004159. The reversal of 1923004096 is 6904003291.

It is a super-3 number, since 3×19230040963 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1116516 + ... + 1118236.

It is an arithmetic number, because the mean of its divisors is an integer number (39364920).

Almost surely, 21923004096 is an apocalyptic number.

1923004096 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 1923004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204435520).

1923004096 is an abundant number, since it is smaller than the sum of its proper divisors (2485866944).

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

1923004096 is a wasteful number, since it uses less digits than its factorization.

1923004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1923004096 is about 43852.0706010560. The cubic root of 1923004096 is about 1243.5408885379.

The spelling of 1923004096 in words is "one billion, nine hundred twenty-three million, four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 79 104 136 158 208 221 272 316 416 442 544 632 832 884 1027 1088 1264 1343 1721 1768 2054 2528 2686 3442 3536 4108 5056 5372 6884 7072 8216 10744 13768 14144 16432 17459 21488 22373 27536 29257 32864 34918 42976 44746 55072 58514 65728 69836 85952 89492 110144 117028 135959 139672 178984 234056 271918 279344 357968 380341 468112 543836 558688 715936 760682 936224 1087672 1117376 1431872 1521364 1767467 1872448 2175344 2311303 3042728 3534934 4350688 4622606 6085456 7069868 8701376 9245212 12170912 14139736 18490424 24341824 28279472 30046939 36980848 56558944 60093878 73961696 113117888 120187756 147923392 240375512 480751024 961502048 1923004096