Search a number
-
+
1061512240 = 24537615879
BaseRepresentation
bin111111010001010…
…110010000110000
32201222102102001011
4333101112100300
54133221342430
6253155520304
735206463605
oct7721262060
92658372034
101061512240
114a5217948
122575b9094
1313bbc6569
14a0da06ac
15632d222a
hex3f456430

1061512240 has 80 divisors (see below), whose sum is σ = 2576710080. Its totient is φ = 406287360.

The previous prime is 1061512237. The next prime is 1061512271. The reversal of 1061512240 is 422151601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10615122402 = 2253616471339635200, which contains 22 as substring.

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, 177621 + ... + 183499.

It is an arithmetic number, because the mean of its divisors is an integer number (32208876).

Almost surely, 21061512240 is an apocalyptic number.

1061512240 is a gapful number since it is divisible by the number (10) 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 1061512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288355040).

1061512240 is an abundant number, since it is smaller than the sum of its proper divisors (1515197840).

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

1061512240 is a wasteful number, since it uses less digits than its factorization.

1061512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1061512240 is about 32580.8569561944. The cubic root of 1061512240 is about 1020.0974660163.

Adding to 1061512240 its reverse (422151601), we get a palindrome (1483663841).

The spelling of 1061512240 in words is "one billion, sixty-one million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1480 2257 2440 2960 4514 4880 5879 9028 11285 11758 18056 22570 23516 29395 36112 45140 47032 58790 90280 94064 117580 180560 217523 235160 358619 435046 470320 717238 870092 1087615 1434476 1740184 1793095 2175230 2868952 3480368 3586190 4350460 5737904 7172380 8700920 13268903 14344760 17401840 26537806 28689520 53075612 66344515 106151224 132689030 212302448 265378060 530756120 1061512240