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1924130130 = 2351310945263
BaseRepresentation
bin111001010101111…
…1110010101010010
311222002120221022220
41302223332111102
512420034131010
6514532441510
765452556556
oct16253762522
94862527286
101924130130
118a813749a
12458479296
13248831b50
14143789866
15b3dc7970
hex72afe552

1924130130 has 64 divisors (see below), whose sum is σ = 5018872320. Its totient is φ = 469276416.

The previous prime is 1924130119. The next prime is 1924130141. The reversal of 1924130130 is 310314291.

It is an interprime number because it is at equal distance from previous prime (1924130119) and next prime (1924130141).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1924130130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19879 + ... + 65141.

It is an arithmetic number, because the mean of its divisors is an integer number (78419880).

Almost surely, 21924130130 is an apocalyptic number.

1924130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509436160).

1924130130 is an abundant number, since it is smaller than the sum of its proper divisors (3094742190).

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

1924130130 is a wasteful number, since it uses less digits than its factorization.

1924130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45395.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1924130130 is about 43864.9077281601. The cubic root of 1924130130 is about 1243.7835637180.

The spelling of 1924130130 in words is "one billion, nine hundred twenty-four million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2834 3270 4251 7085 8502 14170 21255 42510 45263 90526 135789 226315 271578 452630 588419 678945 1176838 1357890 1765257 2942095 3530514 4933667 5884190 8826285 9867334 14801001 17652570 24668335 29602002 49336670 64137671 74005005 128275342 148010010 192413013 320688355 384826026 641376710 962065065 1924130130