Search a number
-
+
1054300240 = 24574147977
BaseRepresentation
bin111110110101110…
…101100001010000
32201110212000001001
4332311311201100
54124400101430
6252341151344
735061255430
oct7665654120
92643760031
101054300240
114a1141414
122550bb554
1313a56c9c6
14a00442c0
156285a3ca
hex3ed75850

1054300240 has 160 divisors (see below), whose sum is σ = 2933812224. Its totient is φ = 344801280.

The previous prime is 1054300231. The next prime is 1054300277. The reversal of 1054300240 is 420034501.

1054300240 is a nontrivial binomial coefficient, being equal to C(45920, 2).

It is a super-2 number, since 2×10543002402 = 2223097992128115200, which contains 22 as substring.

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, 1078632 + ... + 1079608.

Almost surely, 21054300240 is an apocalyptic number.

1054300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054300240 is the 45919-th triangular number and also the 22960-th hexagonal number.

1054300240 is the 15307-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466906112).

1054300240 is an abundant number, since it is smaller than the sum of its proper divisors (1879511984).

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

1054300240 is a wasteful number, since it uses less digits than its factorization.

1054300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1054300240 is about 32469.9898367708. The cubic root of 1054300240 is about 1017.7820060393.

Adding to 1054300240 its reverse (420034501), we get a palindrome (1474334741).

The spelling of 1054300240 in words is "one billion, fifty-four million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 47 56 70 80 82 94 112 140 164 188 205 235 280 287 328 329 376 410 470 560 574 656 658 752 820 940 977 1148 1316 1435 1640 1645 1880 1927 1954 2296 2632 2870 3280 3290 3760 3854 3908 4592 4885 5264 5740 6580 6839 7708 7816 9635 9770 11480 13160 13489 13678 15416 15632 19270 19540 22960 26320 26978 27356 30832 34195 38540 39080 40057 45919 53956 54712 67445 68390 77080 78160 80114 91838 107912 109424 134890 136780 154160 160228 183676 200285 215824 229595 269780 273560 280399 320456 321433 367352 400570 459190 539560 547120 560798 640912 642866 734704 801140 918380 1079120 1121596 1285732 1401995 1602280 1607165 1836760 1882679 2243192 2571464 2803990 3204560 3214330 3673520 3765358 4486384 5142928 5607980 6428660 7530716 9413395 11215960 12857320 13178753 15061432 18826790 22431920 25714640 26357506 30122864 37653580 52715012 65893765 75307160 105430024 131787530 150614320 210860048 263575060 527150120 1054300240