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1932104016 = 24343148091
BaseRepresentation
bin111001100101001…
…1001000101010000
311222122121001110000
41303022121011100
512424104312031
6515415410000
765610420213
oct16312310520
94878531400
101932104016
11901693387
1245b083900
1324a39441b
1414486377a
15b49503e6
hex73299150

1932104016 has 100 divisors (see below), whose sum is σ = 5772578944. Its totient is φ = 623246400.

The previous prime is 1932104011. The next prime is 1932104039. The reversal of 1932104016 is 6104012391.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1932104011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16131 + ... + 64221.

Almost surely, 21932104016 is an apocalyptic number.

1932104016 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 1932104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886289472).

1932104016 is an abundant number, since it is smaller than the sum of its proper divisors (3840474928).

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

1932104016 is a wasteful number, since it uses less digits than its factorization.

1932104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48142 (or 48127 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1932104016 is about 43955.7051587163. The cubic root of 1932104016 is about 1245.4993380959.

The spelling of 1932104016 in words is "one billion, nine hundred thirty-two million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 40176 48091 96182 144273 192364 288546 384728 432819 577092 769456 865638 1154184 1298457 1490821 1731276 2308368 2596914 2981642 3462552 3895371 4472463 5193828 5963284 6925104 7790742 8944926 10387656 11926568 13417389 15581484 17889852 20775312 23853136 26834778 31162968 35779704 40252167 53669556 62325936 71559408 80504334 107339112 120756501 161008668 214678224 241513002 322017336 483026004 644034672 966052008 1932104016