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68154240 = 2735711461
BaseRepresentation
bin1000000111111…
…11001110000000
311202020121001010
410003333032000
5114421413430
610432440520
71455205260
oct403771600
9152217033
1068154240
1135520320
121a9a9140
131117366b
1490a17a0
155eb3cb0
hex40ff380

68154240 has 256 divisors, whose sum is σ = 271434240. Its totient is φ = 14131200.

The previous prime is 68154223. The next prime is 68154257. The reversal of 68154240 is 4245186.

It is an interprime number because it is at equal distance from previous prime (68154223) and next prime (68154257).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 68154198 and 68154207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147610 + ... + 148070.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 268154240 is an apocalyptic number.

68154240 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 68154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

68154240 is an abundant number, since it is smaller than the sum of its proper divisors (203280000).

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

68154240 is a wasteful number, since it uses less digits than its factorization.

68154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 68154240 is about 8255.5581277101. The cubic root of 68154240 is about 408.4738822943.

The spelling of 68154240 in words is "sixty-eight million, one hundred fifty-four thousand, two hundred forty".