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110142480 = 24357531237
BaseRepresentation
bin1101001000010…
…10010000010000
321200020211002010
412210022100100
5211144024410
614532422520
72505124050
oct644122020
9250224063
10110142480
1157199748
1230a77a40
1319a85186
14108b1560
159a09c20
hex690a410

110142480 has 160 divisors (see below), whose sum is σ = 397903104. Its totient is φ = 24680448.

The previous prime is 110142467. The next prime is 110142491. The reversal of 110142480 is 84241011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 88422 + ... + 89658.

Almost surely, 2110142480 is an apocalyptic number.

110142480 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 110142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198951552).

110142480 is an abundant number, since it is smaller than the sum of its proper divisors (287760624).

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

110142480 is a wasteful number, since it uses less digits than its factorization.

110142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 110142480 is about 10494.8787510862. The cubic root of 110142480 is about 479.3487696336.

Adding to 110142480 its reverse (84241011), we get a palindrome (194383491).

The spelling of 110142480 in words is "one hundred ten million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1237 1272 1484 1590 1680 1855 2120 2226 2474 2544 2968 3180 3710 3711 4240 4452 4948 5565 5936 6185 6360 7420 7422 8659 8904 9896 11130 12370 12720 14840 14844 17318 17808 18555 19792 22260 24740 25977 29680 29688 34636 37110 43295 44520 49480 51954 59376 65561 69272 74220 86590 89040 98960 103908 129885 131122 138544 148440 173180 196683 207816 259770 262244 296880 327805 346360 393366 415632 458927 519540 524488 655610 692720 786732 917854 983415 1039080 1048976 1311220 1376781 1573464 1835708 1966830 2078160 2294635 2622440 2753562 3146928 3671416 3933660 4589270 5244880 5507124 6883905 7342832 7867320 9178540 11014248 13767810 15734640 18357080 22028496 27535620 36714160 55071240 110142480