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111485440 = 2951137107
BaseRepresentation
bin1101010010100…
…10001000000000
321202210001021101
412221102020000
5212020013230
615021304144
72522416303
oct651221000
9252701241
10111485440
1157a26730
1231405054
131a135521
1410b40b3a
159bc2aca
hex6a52200

111485440 has 160 divisors (see below), whose sum is σ = 302284224. Its totient is φ = 39075840.

The previous prime is 111485417. The next prime is 111485441. The reversal of 111485440 is 44584111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 111485399 and 111485408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111485441) 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, 1041867 + ... + 1041973.

Almost surely, 2111485440 is an apocalyptic number.

111485440 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 111485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151142112).

111485440 is an abundant number, since it is smaller than the sum of its proper divisors (190798784).

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

111485440 is a wasteful number, since it uses less digits than its factorization.

111485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 111485440 is about 10558.6665824810. Note that the first 3 decimals coincide. The cubic root of 111485440 is about 481.2891273073.

The spelling of 111485440 in words is "one hundred eleven million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 107 110 128 148 160 176 185 214 220 256 296 320 352 370 407 428 440 512 535 592 640 704 740 814 856 880 1070 1177 1184 1280 1408 1480 1628 1712 1760 2035 2140 2354 2368 2560 2816 2960 3256 3424 3520 3959 4070 4280 4708 4736 5632 5885 5920 6512 6848 7040 7918 8140 8560 9416 9472 11770 11840 13024 13696 14080 15836 16280 17120 18832 18944 19795 23540 23680 26048 27392 28160 31672 32560 34240 37664 39590 43549 47080 47360 52096 54784 63344 65120 68480 75328 79180 87098 94160 94720 104192 126688 130240 136960 150656 158360 174196 188320 208384 217745 253376 260480 273920 301312 316720 348392 376640 435490 506752 520960 602624 633440 696784 753280 870980 1013504 1041920 1266880 1393568 1506560 1741960 2027008 2533760 2787136 3013120 3483920 5067520 5574272 6967840 10135040 11148544 13935680 22297088 27871360 55742720 111485440