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1145042700 = 2235237432399
BaseRepresentation
bin100010000111111…
…1111011100001100
32221210121012021220
41010033333130030
54321112331300
6305342123340
740242462624
oct10417773414
92853535256
101145042700
1153838a58a
1227b580550
131532c1879
14ac105884
156a7d1da0
hex443ff70c

1145042700 has 144 divisors (see below), whose sum is σ = 3483110400. Its totient is φ = 290062080.

The previous prime is 1145042693. The next prime is 1145042713. The reversal of 1145042700 is 72405411.

It is a super-2 number, since 2×11450427002 = 2622245569646580000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476101 + ... + 478499.

Almost surely, 21145042700 is an apocalyptic number.

1145042700 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 1145042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741555200).

1145042700 is an abundant number, since it is smaller than the sum of its proper divisors (2338067700).

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

1145042700 is a wasteful number, since it uses less digits than its factorization.

1145042700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1145042700 is about 33838.4795757729. The cubic root of 1145042700 is about 1046.1819612348.

The spelling of 1145042700 in words is "one billion, one hundred forty-five million, forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 43 50 60 74 75 86 100 111 129 148 150 172 185 215 222 258 300 370 430 444 516 555 645 740 860 925 1075 1110 1290 1591 1850 2150 2220 2399 2580 2775 3182 3225 3700 4300 4773 4798 5550 6364 6450 7197 7955 9546 9596 11100 11995 12900 14394 15910 19092 23865 23990 28788 31820 35985 39775 47730 47980 59975 71970 79550 88763 95460 103157 119325 119950 143940 159100 177526 179925 206314 238650 239900 266289 309471 355052 359850 412628 443815 477300 515785 532578 618942 719700 887630 1031570 1065156 1237884 1331445 1547355 1775260 2063140 2219075 2578925 2662890 3094710 3816809 4438150 5157850 5325780 6189420 6657225 7633618 7736775 8876300 10315700 11450427 13314450 15267236 15473550 19084045 22900854 26628900 30947100 38168090 45801708 57252135 76336180 95420225 114504270 190840450 229008540 286260675 381680900 572521350 1145042700