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69012480 = 210354493
BaseRepresentation
bin1000001110100…
…00110000000000
311210212012022210
410013100300000
5120131344410
610503102120
71465411365
oct407206000
9153765283
1069012480
1135a57109
121b141940
13113b41b4
14924646c
1560d3220
hex41d0c00

69012480 has 88 divisors (see below), whose sum is σ = 220781232. Its totient is φ = 18399232.

The previous prime is 69012451. The next prime is 69012481. The reversal of 69012480 is 8421096.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (69012481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13114 + ... + 17606.

Almost surely, 269012480 is an apocalyptic number.

69012480 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 69012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110390616).

69012480 is an abundant number, since it is smaller than the sum of its proper divisors (151768752).

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

69012480 is a wasteful number, since it uses less digits than its factorization.

69012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 69012480 is about 8307.3750366767. The cubic root of 69012480 is about 410.1813197611.

The spelling of 69012480 in words is "sixty-nine million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 4493 5120 7680 8986 13479 15360 17972 22465 26958 35944 44930 53916 67395 71888 89860 107832 134790 143776 179720 215664 269580 287552 359440 431328 539160 575104 718880 862656 1078320 1150208 1437760 1725312 2156640 2300416 2875520 3450624 4313280 4600832 5751040 6901248 8626560 11502080 13802496 17253120 23004160 34506240 69012480