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1921340120 = 235723928711
BaseRepresentation
bin111001010000101…
…0101001011011000
311221220100012011012
41302201111023120
512413330340440
6514352553052
765420056460
oct16241251330
94856305135
101921340120
118a66012a7
12457552788
13248095c5b
14143260ba0
15b3a25e65
hex728552d8

1921340120 has 64 divisors (see below), whose sum is σ = 4961433600. Its totient is φ = 655966080.

The previous prime is 1921340111. The next prime is 1921340123. The reversal of 1921340120 is 210431291.

It is a super-2 number, since 2×19213401202 = 7383095713443228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921340123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52565 + ... + 81275.

It is an arithmetic number, because the mean of its divisors is an integer number (77522400).

Almost surely, 21921340120 is an apocalyptic number.

1921340120 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 1921340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480716800).

1921340120 is an abundant number, since it is smaller than the sum of its proper divisors (3040093480).

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

1921340120 is a wasteful number, since it uses less digits than its factorization.

1921340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28968 (or 28964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1921340120 is about 43833.0938903473. The cubic root of 1921340120 is about 1243.1821062698.

The spelling of 1921340120 in words is "one billion, nine hundred twenty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 239 280 478 956 1195 1673 1912 2390 3346 4780 6692 8365 9560 13384 16730 28711 33460 57422 66920 114844 143555 200977 229688 287110 401954 574220 803908 1004885 1148440 1607816 2009770 4019540 6861929 8039080 13723858 27447716 34309645 48033503 54895432 68619290 96067006 137238580 192134012 240167515 274477160 384268024 480335030 960670060 1921340120