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270667040 = 2557241667
BaseRepresentation
bin10000001000100…
…000110100100000
3200212022022101012
4100020200310200
51023242321130
642505200052
76464426510
oct2010406440
9625268335
10270667040
1112986a176
1276790028
13440ca617
1427d39840
1518b67995
hex10220d20

270667040 has 48 divisors (see below), whose sum is σ = 730804032. Its totient is φ = 92799744.

The previous prime is 270667037. The next prime is 270667049. The reversal of 270667040 is 40766072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 270666988 and 270667006.

It is not an unprimeable number, because it can be changed into a prime (270667049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119714 + ... + 121953.

It is an arithmetic number, because the mean of its divisors is an integer number (15225084).

Almost surely, 2270667040 is an apocalyptic number.

270667040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270667040 is an abundant number, since it is smaller than the sum of its proper divisors (460136992).

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

270667040 is a wasteful number, since it uses less digits than its factorization.

270667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241689 (or 241681 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 270667040 is about 16451.9615851728. The cubic root of 270667040 is about 646.8622263730.

The spelling of 270667040 in words is "two hundred seventy million, six hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 241667 483334 966668 1208335 1691669 1933336 2416670 3383338 3866672 4833340 6766676 7733344 8458345 9666680 13533352 16916690 19333360 27066704 33833380 38666720 54133408 67666760 135333520 270667040