Search a number
-
+
67614240 = 2535140863
BaseRepresentation
bin1000000011110…
…11011000100000
311201020011022010
410001323120200
5114302123430
610413112520
71450466031
oct401733040
9151204263
1067614240
1135191641
121a788740
1311014935
148da0a88
155e08cb0
hex407b620

67614240 has 48 divisors (see below), whose sum is σ = 212986368. Its totient is φ = 18030336.

The previous prime is 67614233. The next prime is 67614257. The reversal of 67614240 is 4241676.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×676142403 (a number of 24 digits) contains 333 as substring.

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 = 67614198 and 67614207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69952 + ... + 70911.

It is an arithmetic number, because the mean of its divisors is an integer number (4437216).

Almost surely, 267614240 is an apocalyptic number.

67614240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67614240 is an abundant number, since it is smaller than the sum of its proper divisors (145372128).

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

67614240 is a wasteful number, since it uses less digits than its factorization.

67614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140881 (or 140873 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67614240 is about 8222.7878484125. The cubic root of 67614240 is about 407.3922130768.

The spelling of 67614240 in words is "sixty-seven million, six hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 140863 281726 422589 563452 704315 845178 1126904 1408630 1690356 2112945 2253808 2817260 3380712 4225890 4507616 5634520 6761424 8451780 11269040 13522848 16903560 22538080 33807120 67614240