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68406240 = 2535720359
BaseRepresentation
bin1000001001111…
…00101111100000
311202201101201110
410010330233200
5120002444430
610442103320
71460305050
oct404745740
9152641643
1068406240
1135682691
121aaaab40
1311231286
149129560
1560137b0
hex413cbe0

68406240 has 96 divisors (see below), whose sum is σ = 246274560. Its totient is φ = 15634944.

The previous prime is 68406227. The next prime is 68406241. The reversal of 68406240 is 4260486.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 68406198 and 68406207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68406241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6820 + ... + 13539.

It is an arithmetic number, because the mean of its divisors is an integer number (2565360).

Almost surely, 268406240 is an apocalyptic number.

68406240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68406240 is an abundant number, since it is smaller than the sum of its proper divisors (177868320).

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

68406240 is a wasteful number, since it uses less digits than its factorization.

68406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 68406240 is about 8270.8064903007. The cubic root of 68406240 is about 408.9767065283.

The spelling of 68406240 in words is "sixty-eight million, four hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 20359 40718 61077 81436 101795 122154 142513 162872 203590 244308 285026 305385 325744 407180 427539 488616 570052 610770 651488 712565 814360 855078 977232 1140104 1221540 1425130 1628720 1710156 1954464 2137695 2280208 2443080 2850260 3257440 3420312 4275390 4560416 4886160 5700520 6840624 8550780 9772320 11401040 13681248 17101560 22802080 34203120 68406240