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111492480 = 2735115279
BaseRepresentation
bin1101010010100…
…11110110000000
321202210101221010
412221103312000
5212020224410
615021400520
72522445651
oct651236600
9252711833
10111492480
1157a30a50
1231409140
131a1387a8
1410b43528
159bc4c20
hex6a53d80

111492480 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 27023360.

The previous prime is 111492439. The next prime is 111492487. The reversal of 111492480 is 84294111.

It is a Cunningham number, because it is equal to 105592-1.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111492487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18481 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2111492480 is an apocalyptic number.

111492480 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 111492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

111492480 is an abundant number, since it is smaller than the sum of its proper divisors (276270720).

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

111492480 is a wasteful number, since it uses less digits than its factorization.

111492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 111492480 is about 10558.9999526470. Note that the first 4 decimals coincide. The cubic root of 111492480 is about 481.2992577905.

The spelling of 111492480 in words is "one hundred eleven million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5279 5280 7040 10558 10560 15837 21116 21120 26395 31674 42232 52790 58069 63348 79185 84464 105580 116138 126696 158370 168928 174207 211160 232276 253392 290345 316740 337856 348414 422320 464552 506784 580690 633480 675712 696828 844640 871035 929104 1013568 1161380 1266960 1393656 1689280 1742070 1858208 2027136 2322760 2533920 2787312 3378560 3484140 3716416 4645520 5067840 5574624 6968280 7432832 9291040 10135680 11149248 13936560 18582080 22298496 27873120 37164160 55746240 111492480