Search a number
-
+
247970940 = 22357590407
BaseRepresentation
bin11101100011110…
…11110001111100
3122021121020011220
432301323301330
51001440032230
640334513340
76100501230
oct1661736174
9567536156
10247970940
11117a78268
126b065850
133c4b1c89
1424d0c5c0
1516b82d10
hexec7bc7c

247970940 has 48 divisors (see below), whose sum is σ = 793508352. Its totient is φ = 56678976.

The previous prime is 247970939. The next prime is 247971001. The reversal of 247970940 is 49079742.

It is a super-2 number, since 2×2479709402 = 122979174168967200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 247970892 and 247970901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294784 + ... + 295623.

It is an arithmetic number, because the mean of its divisors is an integer number (16531424).

Almost surely, 2247970940 is an apocalyptic number.

247970940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247970940 is an abundant number, since it is smaller than the sum of its proper divisors (545537412).

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

247970940 is a wasteful number, since it uses less digits than its factorization.

247970940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590426 (or 590424 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 247970940 is about 15747.0930650708. The cubic root of 247970940 is about 628.2515895945.

The spelling of 247970940 in words is "two hundred forty-seven million, nine hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 590407 1180814 1771221 2361628 2952035 3542442 4132849 5904070 7084884 8265698 8856105 11808140 12398547 16531396 17712210 20664245 24797094 35424420 41328490 49594188 61992735 82656980 123985470 247970940