Search a number
-
+
1902091240 = 235717439293
BaseRepresentation
bin111000101011111…
…1001101111101000
311220120010020122201
41301113321233220
512343413404430
6512424225544
765064336340
oct16127715750
94816106581
101902091240
11896754335
1245100b2b4
132440b669a
1414088dd20
15b1ec28ca
hex715f9be8

1902091240 has 128 divisors (see below), whose sum is σ = 5299810560. Its totient is φ = 599445504.

The previous prime is 1902091187. The next prime is 1902091271. The reversal of 1902091240 is 421902091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1902091199 and 1902091208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200034 + ... + 209326.

It is an arithmetic number, because the mean of its divisors is an integer number (41404770).

Almost surely, 21902091240 is an apocalyptic number.

1902091240 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 1902091240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649905280).

1902091240 is an abundant number, since it is smaller than the sum of its proper divisors (3397719320).

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

1902091240 is a wasteful number, since it uses less digits than its factorization.

1902091240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1902091240 is about 43612.9710063417. The cubic root of 1902091240 is about 1239.0165719791.

The spelling of 1902091240 in words is "one billion, nine hundred two million, ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 43 56 68 70 85 86 119 136 140 170 172 215 238 280 301 340 344 430 476 595 602 680 731 860 952 1190 1204 1462 1505 1720 2380 2408 2924 3010 3655 4760 5117 5848 6020 7310 9293 10234 12040 14620 18586 20468 25585 29240 37172 40936 46465 51170 65051 74344 92930 102340 130102 157981 185860 204680 260204 315962 325255 371720 399599 520408 631924 650510 789905 799198 1105867 1263848 1301020 1579810 1598396 1997995 2211734 2602040 2797193 3159620 3196792 3995990 4423468 5529335 5594386 6319240 6793183 7991980 8846936 11058670 11188772 13586366 13985965 15983960 22117340 22377544 27172732 27971930 33965915 44234680 47552281 54345464 55943860 67931830 95104562 111887720 135863660 190209124 237761405 271727320 380418248 475522810 951045620 1902091240