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11992890 = 23571323191
BaseRepresentation
bin101101101111…
…111100111010
3211120022011010
4231233330322
511032233030
61105014350
7203636460
oct55577472
924508133
1011992890
116851488
1240243b6
13263b9b0
141842830
1510bd6b0
hexb6ff3a

11992890 has 128 divisors (see below), whose sum is σ = 37158912. Its totient is φ = 2407680.

The previous prime is 11992889. The next prime is 11992891. The reversal of 11992890 is 9829911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11992889) and next prime (11992891).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11992891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62695 + ... + 62885.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 211992890 is an apocalyptic number.

11992890 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 11992890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579456).

11992890 is an abundant number, since it is smaller than the sum of its proper divisors (25166022).

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

11992890 is a wasteful number, since it uses less digits than its factorization.

11992890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 11992890 is about 3463.0752229774. The cubic root of 11992890 is about 228.8976233649.

The spelling of 11992890 in words is "eleven million, nine hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 115 130 138 161 182 191 195 210 230 273 299 322 345 382 390 455 483 546 573 598 690 805 897 910 955 966 1146 1337 1365 1495 1610 1794 1910 2093 2415 2483 2674 2730 2865 2990 4011 4186 4393 4485 4830 4966 5730 6279 6685 7449 8022 8786 8970 10465 12415 12558 13179 13370 14898 17381 20055 20930 21965 24830 26358 30751 31395 34762 37245 40110 43930 52143 57109 61502 62790 65895 74490 86905 92253 104286 114218 131790 153755 171327 173810 184506 260715 285545 307510 342654 399763 461265 521430 571090 799526 856635 922530 1199289 1713270 1998815 2398578 3997630 5996445 11992890