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69485040 = 2434510723
BaseRepresentation
bin1000010010001…
…00000111110000
311211202012120000
410021010013300
5120242010130
610521150000
71502420202
oct411040760
9154665500
1069485040
113624a159
121b32b300
131151b311
14932a772
156178260
hex42441f0

69485040 has 100 divisors (see below), whose sum is σ = 241354344. Its totient is φ = 18527616.

The previous prime is 69485023. The next prime is 69485057. The reversal of 69485040 is 4058496.

It is an interprime number because it is at equal distance from previous prime (69485023) and next prime (69485057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69484986 and 69485004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119 + ... + 11841.

Almost surely, 269485040 is an apocalyptic number.

69485040 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 69485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677172).

69485040 is an abundant number, since it is smaller than the sum of its proper divisors (171869304).

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

69485040 is a wasteful number, since it uses less digits than its factorization.

69485040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 69485040 is about 8335.7687108029. The cubic root of 69485040 is about 411.1154239193.

The spelling of 69485040 in words is "sixty-nine million, four hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 10723 21446 32169 42892 53615 64338 85784 96507 107230 128676 160845 171568 193014 214460 257352 289521 321690 386028 428920 482535 514704 579042 643380 772056 857840 868563 965070 1158084 1286760 1447605 1544112 1737126 1930140 2316168 2573520 2895210 3474252 3860280 4342815 4632336 5790420 6948504 7720560 8685630 11580840 13897008 17371260 23161680 34742520 69485040