Search a number
-
+
1240649088 = 27374011151
BaseRepresentation
bin100100111110010…
…1100110110000000
310012110111111121020
41021330230312000
510020101232323
6323035225440
742513225510
oct11174546600
93173444536
101240649088
11587350028
122a75a8280
1316a0575b3
14baab1840
1573db9ae3
hex49f2cd80

1240649088 has 128 divisors (see below), whose sum is σ = 3778928640. Its totient is φ = 353280000.

The previous prime is 1240649071. The next prime is 1240649119. The reversal of 1240649088 is 8809460421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1077313 + ... + 1078463.

It is an arithmetic number, because the mean of its divisors is an integer number (29522880).

Almost surely, 21240649088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889464320).

1240649088 is an abundant number, since it is smaller than the sum of its proper divisors (2538279552).

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

1240649088 is a wasteful number, since it uses less digits than its factorization.

1240649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1240649088 is about 35222.8489478066. The cubic root of 1240649088 is about 1074.5244950912.

The spelling of 1240649088 in words is "one billion, two hundred forty million, six hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 401 448 672 802 896 1151 1203 1344 1604 2302 2406 2688 2807 3208 3453 4604 4812 5614 6416 6906 8057 8421 9208 9624 11228 12832 13812 16114 16842 18416 19248 22456 24171 25664 27624 32228 33684 36832 38496 44912 48342 51328 55248 64456 67368 73664 76992 89824 96684 110496 128912 134736 147328 153984 179648 193368 220992 257824 269472 359296 386736 441984 461551 515648 538944 773472 923102 1031296 1077888 1384653 1546944 1846204 2769306 3093888 3230857 3692408 5538612 6461714 7384816 9692571 11077224 12923428 14769632 19385142 22154448 25846856 29539264 38770284 44308896 51693712 59078528 77540568 88617792 103387424 155081136 177235584 206774848 310162272 413549696 620324544 1240649088