Search a number
-
+
1151521040 = 245313111493
BaseRepresentation
bin100010010100010…
…1101000100010000
32222020210022220102
41010220231010100
54324242133130
6310133031532
740351524125
oct10450550420
92866708812
101151521040
1154100488a
122817855a8
1315474c4c7
14acd1074c
156b161645
hex44a2d110

1151521040 has 80 divisors (see below), whose sum is σ = 2774393856. Its totient is φ = 444019200.

The previous prime is 1151520991. The next prime is 1151521069. The reversal of 1151521040 is 401251511.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 770534 + ... + 772026.

Almost surely, 21151521040 is an apocalyptic number.

1151521040 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 1151521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387196928).

1151521040 is an abundant number, since it is smaller than the sum of its proper divisors (1622872816).

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

1151521040 is a wasteful number, since it uses less digits than its factorization.

1151521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1151521040 is about 33934.0690162556. The cubic root of 1151521040 is about 1048.1512562602.

Adding to 1151521040 its reverse (401251511), we get a palindrome (1552772551).

The spelling of 1151521040 in words is "one billion, one hundred fifty-one million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 311 496 620 622 1240 1244 1493 1555 2480 2488 2986 3110 4976 5972 6220 7465 9641 11944 12440 14930 19282 23888 24880 29860 38564 46283 48205 59720 77128 92566 96410 119440 154256 185132 192820 231415 370264 385640 462830 464323 740528 771280 925660 928646 1851320 1857292 2321615 3702640 3714584 4643230 7429168 9286460 14394013 18572920 28788026 37145840 57576052 71970065 115152104 143940130 230304208 287880260 575760520 1151521040