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11159940 = 22351137457
BaseRepresentation
bin101010100100…
…100110000100
3202222222120010
4222210212010
510324104230
61035110220
7163600161
oct52444604
922888503
1011159940
1163326a0
1238a2370
13240981c
1416a7068
15ea69b0
hexaa4984

11159940 has 96 divisors (see below), whose sum is σ = 35086464. Its totient is φ = 2626560.

The previous prime is 11159933. The next prime is 11159959. The reversal of 11159940 is 4995111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11159898 and 11159907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24192 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (365484).

Almost surely, 211159940 is an apocalyptic number.

11159940 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 11159940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543232).

11159940 is an abundant number, since it is smaller than the sum of its proper divisors (23926524).

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

11159940 is a wasteful number, since it uses less digits than its factorization.

11159940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 11159940 is about 3340.6496374208. The cubic root of 11159940 is about 223.4707157003.

It can be divided in two parts, 11 and 159940, that added together give a palindrome (159951).

The spelling of 11159940 in words is "eleven million, one hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 457 555 660 740 814 914 1110 1221 1371 1628 1828 2035 2220 2285 2442 2742 4070 4570 4884 5027 5484 6105 6855 8140 9140 10054 12210 13710 15081 16909 20108 24420 25135 27420 30162 33818 50270 50727 60324 67636 75405 84545 100540 101454 150810 169090 185999 202908 253635 301620 338180 371998 507270 557997 743996 929995 1014540 1115994 1859990 2231988 2789985 3719980 5579970 11159940