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1919191920 = 243513161043
BaseRepresentation
bin111001001100100…
…1000101101110000
311221202022001101020
41302121020231300
512412303120140
6514234535440
765362601502
oct16231105560
94852261336
101919191920
118a5374328
12456897580
132477c3229
14142c61d72
15b374e6d0
hex72648b70

1919191920 has 80 divisors (see below), whose sum is σ = 5995009152. Its totient is φ = 507869440.

The previous prime is 1919191913. The next prime is 1919191969. The reversal of 1919191920 is 291919191.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 919 + ... + 61961.

Almost surely, 21919191920 is an apocalyptic number.

1919191920 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 1919191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997504576).

1919191920 is an abundant number, since it is smaller than the sum of its proper divisors (4075817232).

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

1919191920 is a wasteful number, since it uses less digits than its factorization.

1919191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61190 (or 61184 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 42.

The square root of 1919191920 is about 43808.5827207409. The cubic root of 1919191920 is about 1242.7186103827.

It can be divided in two parts, 19191 and 91920, that added together give a palindrome (111111).

The spelling of 1919191920 in words is "one billion, nine hundred nineteen million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 61043 122086 183129 244172 305215 366258 488344 610430 732516 915645 976688 1220860 1465032 1831290 2441720 2930064 3662580 4883440 7325160 7996633 14650320 15993266 23989899 31986532 39983165 47979798 63973064 79966330 95959596 119949495 127946128 159932660 191919192 239898990 319865320 383838384 479797980 639730640 959595960 1919191920