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69420240 = 243553571
BaseRepresentation
bin1000010001101…
…00010011010000
311211121220200000
410020310103100
5120232421430
610515530000
71502030241
oct410642320
9154556600
1069420240
11362054aa
121b2b9900
13114c7986
149310cc8
156163e60
hex42344d0

69420240 has 120 divisors (see below), whose sum is σ = 241838688. Its totient is φ = 18506880.

The previous prime is 69420161. The next prime is 69420277. The reversal of 69420240 is 4202496.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17655 + ... + 21225.

Almost surely, 269420240 is an apocalyptic number.

69420240 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 69420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120919344).

69420240 is an abundant number, since it is smaller than the sum of its proper divisors (172418448).

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

69420240 is a wasteful number, since it uses less digits than its factorization.

69420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 69420240 is about 8331.8809400999. The cubic root of 69420240 is about 410.9875855380.

The spelling of 69420240 in words is "sixty-nine million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3571 3888 4860 6480 7142 9720 10713 14284 17855 19440 21426 28568 32139 35710 42852 53565 57136 64278 71420 85704 96417 107130 128556 142840 160695 171408 192834 214260 257112 285680 289251 321390 385668 428520 482085 514224 578502 642780 771336 857040 867753 964170 1157004 1285560 1446255 1542672 1735506 1928340 2314008 2571120 2892510 3471012 3856680 4338765 4628016 5785020 6942024 7713360 8677530 11570040 13884048 17355060 23140080 34710120 69420240