Search a number
-
+
1930723600 = 2452136
BaseRepresentation
bin111001100010100…
…1000000100010000
311222112222220212111
41303011020010100
512423231123400
6515330035104
765562610531
oct16305100420
94875886774
101930723600
11900930243
1245a718a94
1324a000000
141445c4688
15b477b3ba
hex73148110

1930723600 has 105 divisors (see below), whose sum is σ = 5025110323. Its totient is φ = 712882560.

The previous prime is 1930723577. The next prime is 1930723621. The reversal of 1930723600 is 63270391.

The square root of 1930723600 is 43940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 124813584 + 1805910016 = 11172^2 + 42496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 148517194 + ... + 148517206.

Almost surely, 21930723600 is an apocalyptic number.

1930723600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1930723600 is the 43940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1930723600

1930723600 is an abundant number, since it is smaller than the sum of its proper divisors (3094386723).

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

1930723600 is an frugal number, since it uses more digits than its factorization.

1930723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The cubic root of 1930723600 is about 1245.2026465405.

Adding to 1930723600 its reverse (63270391), we get a palindrome (1993993991).

The spelling of 1930723600 in words is "one billion, nine hundred thirty million, seven hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2197 2600 2704 3380 4225 4394 5200 6760 8450 8788 10985 13520 16900 17576 21970 28561 33800 35152 43940 54925 57122 67600 87880 109850 114244 142805 175760 219700 228488 285610 371293 439400 456976 571220 714025 742586 878800 1142440 1428050 1485172 1856465 2284880 2856100 2970344 3712930 4826809 5712200 5940688 7425860 9282325 9653618 11424400 14851720 18564650 19307236 24134045 29703440 37129300 38614472 48268090 74258600 77228944 96536180 120670225 148517200 193072360 241340450 386144720 482680900 965361800 1930723600