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69920040 = 23351933019
BaseRepresentation
bin1000010101011…
…10010100101000
311212120022021010
410022232110220
5120344420130
610534343520
71506211341
oct412562450
9155508233
1069920040
1136516a63
121b4baba0
1311641308
1494010c8
1562120b0
hex42ae528

69920040 has 64 divisors (see below), whose sum is σ = 210916800. Its totient is φ = 18542592.

The previous prime is 69920033. The next prime is 69920041. The reversal of 69920040 is 4002996.

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 (69920041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21651 + ... + 24669.

It is an arithmetic number, because the mean of its divisors is an integer number (3295575).

Almost surely, 269920040 is an apocalyptic number.

69920040 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 69920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105458400).

69920040 is an abundant number, since it is smaller than the sum of its proper divisors (140996760).

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

69920040 is a wasteful number, since it uses less digits than its factorization.

69920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 69920040 is about 8361.8203759708. The cubic root of 69920040 is about 411.9715473486.

The spelling of 69920040 in words is "sixty-nine million, nine hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3019 3860 4632 5790 6038 7720 9057 11580 12076 15095 18114 23160 24152 30190 36228 45285 60380 72456 90570 120760 181140 362280 582667 1165334 1748001 2330668 2913335 3496002 4661336 5826670 6992004 8740005 11653340 13984008 17480010 23306680 34960020 69920040