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69323040 = 253551783
BaseRepresentation
bin1000010000111…
…00100100100000
311211102222100000
410020130210200
5120221314130
610513500000
71501143663
oct410344440
9154388300
1069323040
1136149476
121b271600
1311492667
1492c76da
156145260
hex421c920

69323040 has 144 divisors (see below), whose sum is σ = 245464128. Its totient is φ = 18475776.

The previous prime is 69323029. The next prime is 69323047. The reversal of 69323040 is 4032396.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 69322995 and 69323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69323047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37989 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (1704612).

Almost surely, 269323040 is an apocalyptic number.

69323040 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 69323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732064).

69323040 is an abundant number, since it is smaller than the sum of its proper divisors (176141088).

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

69323040 is a wasteful number, since it uses less digits than its factorization.

69323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 69323040 is about 8326.0458802483. The cubic root of 69323040 is about 410.7956787182.

The spelling of 69323040 in words is "sixty-nine million, three hundred twenty-three thousand, forty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1783 1944 2160 2430 2592 3240 3566 3888 4320 4860 5349 6480 7132 7776 8915 9720 10698 12960 14264 16047 17830 19440 21396 26745 28528 32094 35660 38880 42792 48141 53490 57056 64188 71320 80235 85584 96282 106980 128376 142640 144423 160470 171168 192564 213960 240705 256752 285280 288846 320940 385128 427920 433269 481410 513504 577692 641880 722115 770256 855840 866538 962820 1155384 1283760 1444230 1540512 1733076 1925640 2166345 2310768 2567520 2888460 3466152 3851280 4332690 4621536 5776920 6932304 7702560 8665380 11553840 13864608 17330760 23107680 34661520 69323040