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11907630 = 2325741461
BaseRepresentation
bin101101011011…
…001000101110
3211101222012100
4231123020232
511022021010
61103115530
7203133060
oct55331056
924358170
1011907630
1167a3419
123ba2ba6
13260bc47
14181d730
1510a32c0
hexb5b22e

11907630 has 96 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 2649600.

The previous prime is 11907619. The next prime is 11907631. The reversal of 11907630 is 3670911.

It is a junction number, because it is equal to n+sod(n) for n = 11907594 and 11907603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11907631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25600 + ... + 26060.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 211907630 is an apocalyptic number.

11907630 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 11907630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

11907630 is an abundant number, since it is smaller than the sum of its proper divisors (24416658).

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

11907630 is a wasteful number, since it uses less digits than its factorization.

11907630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 11907630 is about 3450.7433981680. The cubic root of 11907630 is about 228.3539055943.

The spelling of 11907630 in words is "eleven million, nine hundred seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 461 574 615 630 738 861 922 1230 1383 1435 1722 1845 2305 2583 2766 2870 3227 3690 4149 4305 4610 5166 6454 6915 8298 8610 9681 12915 13830 16135 18901 19362 20745 25830 29043 32270 37802 41490 48405 56703 58086 94505 96810 113406 132307 145215 170109 189010 264614 283515 290430 340218 396921 567030 661535 793842 850545 1190763 1323070 1701090 1984605 2381526 3969210 5953815 11907630