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270683680 = 2552958337
BaseRepresentation
bin10000001000100…
…100111000100000
3200212100011012111
4100020210320200
51023243334210
642505405104
76464526151
oct2010447040
9625304174
10270683680
11129880723
1276799794
1344105077
1427d41928
1518b6c88a
hex10224e20

270683680 has 48 divisors (see below), whose sum is σ = 661552920. Its totient is φ = 104538112.

The previous prime is 270683663. The next prime is 270683683. The reversal of 270683680 is 86386072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 266472976 + 4210704 = 16324^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (270683683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24529 + ... + 33808.

Almost surely, 2270683680 is an apocalyptic number.

270683680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270683680 is an abundant number, since it is smaller than the sum of its proper divisors (390869240).

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

270683680 is a wasteful number, since it uses less digits than its factorization.

270683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58381 (or 58373 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 270683680 is about 16452.4672921723. The cubic root of 270683680 is about 646.8754819790.

The spelling of 270683680 in words is "two hundred seventy million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 58337 116674 233348 291685 466696 583370 933392 1166740 1691773 1866784 2333480 3383546 4666960 6767092 8458865 9333920 13534184 16917730 27068368 33835460 54136736 67670920 135341840 270683680