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131923890 = 2345753439
BaseRepresentation
bin1111101110011…
…11111110110010
3100012020102120000
413313033332302
5232233031030
621031330430
73161222520
oct767177662
9305212500
10131923890
116851640a
1238220a16
1321440397
1413741310
15b8ad860
hex7dcffb2

131923890 has 160 divisors (see below), whose sum is σ = 413994240. Its totient is φ = 29517696.

The previous prime is 131923873. The next prime is 131923903. The reversal of 131923890 is 98329131.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 300291 + ... + 300729.

It is an arithmetic number, because the mean of its divisors is an integer number (2587464).

Almost surely, 2131923890 is an apocalyptic number.

131923890 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 131923890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206997120).

131923890 is an abundant number, since it is smaller than the sum of its proper divisors (282070350).

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

131923890 is a wasteful number, since it uses less digits than its factorization.

131923890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 131923890 is about 11485.8125528845. The cubic root of 131923890 is about 509.0664583089.

The spelling of 131923890 in words is "one hundred thirty-one million, nine hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 265 270 315 318 371 378 405 439 477 530 567 630 742 795 810 878 945 954 1113 1134 1317 1431 1590 1855 1890 2195 2226 2385 2634 2835 2862 3073 3339 3710 3951 4293 4390 4770 5565 5670 6146 6585 6678 7155 7902 8586 9219 10017 11130 11853 13170 14310 15365 16695 18438 19755 20034 21465 23267 23706 27657 30051 30730 33390 35559 39510 42930 46095 46534 50085 55314 59265 60102 69801 71118 82971 92190 100170 116335 118530 138285 139602 150255 162869 165942 177795 209403 232670 248913 276570 300510 325738 349005 355590 414855 418806 488607 497826 628209 698010 814345 829710 977214 1047015 1244565 1256418 1465821 1628690 1884627 2094030 2443035 2489130 2931642 3141045 3769254 4397463 4886070 6282090 7329105 8794926 9423135 13192389 14658210 18846270 21987315 26384778 43974630 65961945 131923890