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69720240 = 2435319371
BaseRepresentation
bin1000010011111…
…01100010110000
311212012011012010
410021331202300
5120322021430
610530202520
71504420002
oct411754260
9155164163
1069720240
113639a937
121b423440
13115a13a5
14938c372
1561c2cb0
hex427d8b0

69720240 has 80 divisors (see below), whose sum is σ = 223128576. Its totient is φ = 17990400.

The previous prime is 69720239. The next prime is 69720283. The reversal of 69720240 is 4202796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 69720198 and 69720207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2755 + ... + 12125.

Almost surely, 269720240 is an apocalyptic number.

69720240 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 69720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111564288).

69720240 is an abundant number, since it is smaller than the sum of its proper divisors (153408336).

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

69720240 is a wasteful number, since it uses less digits than its factorization.

69720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 69720240 is about 8349.8646695620. The cubic root of 69720240 is about 411.5787632325.

The spelling of 69720240 in words is "sixty-nine million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 9371 18742 28113 37484 46855 56226 74968 93710 112452 140565 149936 187420 224904 281130 290501 374840 449808 562260 581002 749680 871503 1124520 1162004 1452505 1743006 2249040 2324008 2905010 3486012 4357515 4648016 5810020 6972024 8715030 11620040 13944048 17430060 23240080 34860120 69720240