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1929689420 = 225236076911
BaseRepresentation
bin111001100000100…
…1011100101001100
311222111001101020112
41303001023211030
512423000030140
6515251535152
765551042451
oct16301134514
94874041215
101929689420
1190029424a
1245a2ba4b8
13249a2a379
141443d5828
15b4624c65
hex7304b94c

1929689420 has 48 divisors (see below), whose sum is σ = 4236115968. Its totient is φ = 736992960.

The previous prime is 1929689417. The next prime is 1929689423. The reversal of 1929689420 is 249869291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1929689417) and next prime (1929689423).

It is not an unprimeable number, because it can be changed into a prime (1929689423) 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, 275765 + ... + 282675.

It is an arithmetic number, because the mean of its divisors is an integer number (88252416).

Almost surely, 21929689420 is an apocalyptic number.

1929689420 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 1929689420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118057984).

1929689420 is an abundant number, since it is smaller than the sum of its proper divisors (2306426548).

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

1929689420 is a wasteful number, since it uses less digits than its factorization.

1929689420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 1929689420 is about 43928.2303308476. The cubic root of 1929689420 is about 1244.9802785003.

The spelling of 1929689420 in words is "one billion, nine hundred twenty-nine million, six hundred eighty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 607 1214 2428 3035 6070 6911 12140 13822 13961 27644 27922 34555 55844 69110 69805 138220 139610 158953 279220 317906 635812 794765 1589530 3179060 4194977 8389954 16779908 20974885 41949770 83899540 96484471 192968942 385937884 482422355 964844710 1929689420