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69090240 = 263579911
BaseRepresentation
bin1000001111000…
…11101111000000
311211000010222210
410013203233000
5120141341430
610504502120
71466154162
oct407435700
9154003883
1069090240
1135aaa57a
121b17a940
13114106cb
149266932
1560eb2b0
hex41e3bc0

69090240 has 112 divisors (see below), whose sum is σ = 222382080. Its totient is φ = 18170880.

The previous prime is 69090233. The next prime is 69090253. The reversal of 69090240 is 4209096.

It is a super-2 number, since 2×690902402 = 9546922526515200, which contains 22 as substring.

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 = 69090198 and 69090207.

It is a congruent number.

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, 75385 + ... + 76295.

Almost surely, 269090240 is an apocalyptic number.

69090240 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 69090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111191040).

69090240 is an abundant number, since it is smaller than the sum of its proper divisors (153291840).

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

69090240 is a wasteful number, since it uses less digits than its factorization.

69090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

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

The square root of 69090240 is about 8312.0538978041. The cubic root of 69090240 is about 410.3353195758.

The spelling of 69090240 in words is "sixty-nine million, ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 911 948 960 1185 1264 1580 1822 1896 2370 2528 2733 3160 3644 3792 4555 4740 5056 5466 6320 7288 7584 9110 9480 10932 12640 13665 14576 15168 18220 18960 21864 25280 27330 29152 36440 37920 43728 54660 58304 71969 72880 75840 87456 109320 143938 145760 174912 215907 218640 287876 291520 359845 431814 437280 575752 719690 863628 874560 1079535 1151504 1439380 1727256 2159070 2303008 2878760 3454512 4318140 4606016 5757520 6909024 8636280 11515040 13818048 17272560 23030080 34545120 69090240