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110470680 = 23325476529
BaseRepresentation
bin1101001010110…
…10011000011000
321200212111021200
412211122120120
5211240030210
614543434200
72510661645
oct645323030
9250774250
10110470680
11573a3291
1230bb5960
1319b6b688
1410958dcc
159a720c0
hex695a618

110470680 has 96 divisors (see below), whose sum is σ = 366724800. Its totient is φ = 28827648.

The previous prime is 110470673. The next prime is 110470697. The reversal of 110470680 is 86074011.

It is a happy number.

110470680 is a `hidden beast` number, since 110 + 470 + 6 + 80 = 666.

It is a super-2 number, since 2×1104706802 = 24407542279324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13656 + ... + 20184.

It is an arithmetic number, because the mean of its divisors is an integer number (3820050).

Almost surely, 2110470680 is an apocalyptic number.

110470680 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 110470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183362400).

110470680 is an abundant number, since it is smaller than the sum of its proper divisors (256254120).

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

110470680 is a wasteful number, since it uses less digits than its factorization.

110470680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 110470680 is about 10510.5033181099. The cubic root of 110470680 is about 479.8244149451.

The spelling of 110470680 in words is "one hundred ten million, four hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 6529 8460 13058 16920 19587 26116 32645 39174 52232 58761 65290 78348 97935 117522 130580 156696 195870 235044 261160 293805 306863 391740 470088 587610 613726 783480 920589 1175220 1227452 1534315 1841178 2350440 2454904 2761767 3068630 3682356 4602945 5523534 6137260 7364712 9205890 11047068 12274520 13808835 18411780 22094136 27617670 36823560 55235340 110470680