[go: up one dir, main page]

Search a number
-
+
1153555440 = 2435139151229
BaseRepresentation
bin100010011000001…
…1101101111110000
32222101121200120120
41010300131233300
54330302233230
6310244410240
740405026252
oct10460355760
92871550516
101153555440
11542174304
122823a6980
13154cb24ab
14ad2bdcd2
156b414310
hex44c1dbf0

1153555440 has 160 divisors (see below), whose sum is σ = 3641433600. Its totient is φ = 302054400.

The previous prime is 1153555421. The next prime is 1153555457. The reversal of 1153555440 is 445553511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5037246 + ... + 5037474.

It is an arithmetic number, because the mean of its divisors is an integer number (22758960).

Almost surely, 21153555440 is an apocalyptic number.

1153555440 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 1153555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820716800).

1153555440 is an abundant number, since it is smaller than the sum of its proper divisors (2487878160).

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

1153555440 is a wasteful number, since it uses less digits than its factorization.

1153555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 1153555440 is about 33964.0315628166. The cubic root of 1153555440 is about 1048.7681517465.

The spelling of 1153555440 in words is "one billion, one hundred fifty-three million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 151 229 240 278 302 417 453 458 556 604 687 695 755 834 906 916 1112 1145 1208 1374 1390 1510 1668 1812 1832 2085 2224 2265 2290 2416 2748 2780 3020 3336 3435 3624 3664 4170 4530 4580 5496 5560 6040 6672 6870 7248 8340 9060 9160 10992 11120 12080 13740 16680 18120 18320 20989 27480 31831 33360 34579 36240 41978 54960 62967 63662 69158 83956 95493 103737 104945 125934 127324 138316 159155 167912 172895 190986 207474 209890 251868 254648 276632 314835 318310 335824 345790 381972 414948 419780 477465 503736 509296 518685 553264 629670 636620 691580 763944 829896 839560 954930 1007472 1037370 1259340 1273240 1383160 1527888 1659792 1679120 1909860 2074740 2518680 2546480 2766320 3819720 4149480 4806481 5037360 7639440 8298960 9612962 14419443 19225924 24032405 28838886 38451848 48064810 57677772 72097215 76903696 96129620 115355544 144194430 192259240 230711088 288388860 384518480 576777720 1153555440