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1930704192 = 263231310709
BaseRepresentation
bin111001100010100…
…0011010101000000
311222112221221020200
41303011003111000
512423230013232
6515325405200
765562500124
oct16305032500
94875857220
101930704192
119009176aa
1245a709800
13249cc4221
141445bb584
15b477577c
hex73143540

1930704192 has 84 divisors (see below), whose sum is σ = 5552213940. Its totient is φ = 641452032.

The previous prime is 1930704173. The next prime is 1930704197. The reversal of 1930704192 is 2914070391.

It can be written as a sum of positive squares in 2 ways, for example, as 855913536 + 1074790656 = 29256^2 + 32784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930704197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174934 + ... + 185642.

It is an arithmetic number, because the mean of its divisors is an integer number (66097785).

Almost surely, 21930704192 is an apocalyptic number.

1930704192 is a gapful number since it is divisible by the number (12) 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 1930704192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776106970).

1930704192 is an abundant number, since it is smaller than the sum of its proper divisors (3621509748).

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

1930704192 is a wasteful number, since it uses less digits than its factorization.

1930704192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11040 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1930704192 is about 43939.7791528360. The cubic root of 1930704192 is about 1245.1984741887.

The spelling of 1930704192 in words is "one billion, nine hundred thirty million, seven hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 313 576 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 10709 11268 15024 20032 21418 22536 30048 32127 42836 45072 60096 64254 85672 90144 96381 128508 171344 180288 192762 257016 342688 385524 514032 685376 771048 1028064 1542096 2056128 3084192 3351917 6168384 6703834 10055751 13407668 20111502 26815336 30167253 40223004 53630672 60334506 80446008 107261344 120669012 160892016 214522688 241338024 321784032 482676048 643568064 965352096 1930704192