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1129985190 = 2325791031543
BaseRepresentation
bin100001101011010…
…0011010010100110
32220202021012021100
41003112203102212
54303234011230
6304043300530
740000500315
oct10326432246
92822235240
101129985190
1152a935664
1227651a746
1315014bcb9
14aa10627c
156930a660
hex435a34a6

1129985190 has 96 divisors (see below), whose sum is σ = 3005982720. Its totient is φ = 294435648.

The previous prime is 1129985173. The next prime is 1129985191. The reversal of 1129985190 is 915899211.

1129985190 is a `hidden beast` number, since 1 + 129 + 9 + 8 + 519 + 0 = 666.

It is a super-2 number, since 2×11299851902 = 2553733059238672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129985191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731559 + ... + 733101.

It is an arithmetic number, because the mean of its divisors is an integer number (31312320).

Almost surely, 21129985190 is an apocalyptic number.

1129985190 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 1129985190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502991360).

1129985190 is an abundant number, since it is smaller than the sum of its proper divisors (1875997530).

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

1129985190 is a wasteful number, since it uses less digits than its factorization.

1129985190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The square root of 1129985190 is about 33615.2523417570. The cubic root of 1129985190 is about 1041.5758869013.

The spelling of 1129985190 in words is "one billion, one hundred twenty-nine million, nine hundred eighty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 103 158 206 237 309 395 474 515 618 711 790 927 1030 1185 1422 1543 1545 1854 2370 3086 3090 3555 4629 4635 7110 7715 8137 9258 9270 13887 15430 16274 23145 24411 27774 40685 46290 48822 69435 73233 81370 121897 122055 138870 146466 158929 243794 244110 317858 365691 366165 476787 609485 731382 732330 794645 953574 1097073 1218970 1430361 1589290 1828455 2194146 2383935 2860722 3656910 4767870 5485365 7151805 10970730 12555391 14303610 25110782 37666173 62776955 75332346 112998519 125553910 188330865 225997038 376661730 564992595 1129985190