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69976080 = 24325175717
BaseRepresentation
bin1000010101111…
…00000000010000
311212200011010200
410022330000100
5120403213310
610535455200
71506533616
oct412740020
9155604120
1069976080
1136555079
121b527500
1311660985
1494176b6
1562239c0
hex42bc010

69976080 has 120 divisors (see below), whose sum is σ = 248870232. Its totient is φ = 17559552.

The previous prime is 69976079. The next prime is 69976099. The reversal of 69976080 is 8067996.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 53231616 = 4092^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×699760803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9382 + ... + 15098.

Almost surely, 269976080 is an apocalyptic number.

69976080 is a gapful number since it is divisible by the number (60) 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 69976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124435116).

69976080 is an abundant number, since it is smaller than the sum of its proper divisors (178894152).

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

69976080 is a wasteful number, since it uses less digits than its factorization.

69976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 69976080 is about 8365.1706497835. The cubic root of 69976080 is about 412.0815812307.

The spelling of 69976080 in words is "sixty-nine million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 5717 6120 11434 12240 17151 22868 28585 34302 45736 51453 57170 68604 85755 91472 97189 102906 114340 137208 171510 194378 205812 228680 257265 274416 291567 343020 388756 411624 457360 485945 514530 583134 686040 777512 823248 874701 971890 1029060 1166268 1372080 1457835 1555024 1749402 1943780 2058120 2332536 2915670 3498804 3887560 4116240 4373505 4665072 5831340 6997608 7775120 8747010 11662680 13995216 17494020 23325360 34988040 69976080