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11907480 = 23351317449
BaseRepresentation
bin101101011011…
…000110011000
3211101221222210
4231123012120
511022014410
61103115120
7203132454
oct55330630
924357883
1011907480
1167a32a2
123ba2aa0
13260bb60
14181d664
1510a3220
hexb5b198

11907480 has 128 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 2752512.

The previous prime is 11907479. The next prime is 11907499. The reversal of 11907480 is 8470911.

11907480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 26296 + ... + 26744.

Almost surely, 211907480 is an apocalyptic number.

11907480 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 11907480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

11907480 is an abundant number, since it is smaller than the sum of its proper divisors (28916520).

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

11907480 is a wasteful number, since it uses less digits than its factorization.

11907480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11907480 is about 3450.7216636524. The cubic root of 11907480 is about 228.3529467349.

The spelling of 11907480 in words is "eleven million, nine hundred seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 449 510 520 663 680 780 884 898 1020 1105 1326 1347 1560 1768 1796 2040 2210 2245 2652 2694 3315 3592 4420 4490 5304 5388 5837 6630 6735 7633 8840 8980 10776 11674 13260 13470 15266 17511 17960 22899 23348 26520 26940 29185 30532 35022 38165 45798 46696 53880 58370 61064 70044 76330 87555 91596 99229 114495 116740 140088 152660 175110 183192 198458 228990 233480 297687 305320 350220 396916 457980 496145 595374 700440 793832 915960 992290 1190748 1488435 1984580 2381496 2976870 3969160 5953740 11907480