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69742080 = 293351009
BaseRepresentation
bin1000010100000…
…10111000000000
311212020021011000
410022002320000
5120323221310
610530452000
71504540452
oct412027000
9155207130
1069742080
1136405291
121b434000
13115ab305
1493962d2
1561c94c0
hex4282e00

69742080 has 160 divisors (see below), whose sum is σ = 247975200. Its totient is φ = 18579456.

The previous prime is 69742073. The next prime is 69742081. The reversal of 69742080 is 8024796.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69742081) 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 15 ways as a sum of consecutive naturals, for example, 68616 + ... + 69624.

It is an arithmetic number, because the mean of its divisors is an integer number (1549845).

Almost surely, 269742080 is an apocalyptic number.

69742080 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 69742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123987600).

69742080 is an abundant number, since it is smaller than the sum of its proper divisors (178233120).

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

69742080 is a wasteful number, since it uses less digits than its factorization.

69742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 69742080 is about 8351.1723727869. The cubic root of 69742080 is about 411.6217346936.

The spelling of 69742080 in words is "sixty-nine million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1009 1080 1152 1280 1440 1536 1728 1920 2018 2160 2304 2560 2880 3027 3456 3840 4036 4320 4608 5045 5760 6054 6912 7680 8072 8640 9081 10090 11520 12108 13824 15135 16144 17280 18162 20180 23040 24216 27243 30270 32288 34560 36324 40360 45405 48432 54486 60540 64576 69120 72648 80720 90810 96864 108972 121080 129152 136215 145296 161440 181620 193728 217944 242160 258304 272430 290592 322880 363240 387456 435888 484320 516608 544860 581184 645760 726480 774912 871776 968640 1089720 1162368 1291520 1452960 1549824 1743552 1937280 2179440 2324736 2583040 2905920 3487104 3874560 4358880 4649472 5811840 6974208 7749120 8717760 11623680 13948416 17435520 23247360 34871040 69742080