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1125132400 = 245272317471
BaseRepresentation
bin100001100010000…
…0010100001110000
32220102010122111101
41003010002201300
54301013214100
6303351254144
736611316250
oct10304024160
92812118441
101125132400
11528120697
1227497a354
1314c140222
14a9601960
1568b9c86a
hex43102870

1125132400 has 120 divisors (see below), whose sum is σ = 3223793664. Its totient is φ = 368966400.

The previous prime is 1125132397. The next prime is 1125132427. The reversal of 1125132400 is 42315211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55665 + ... + 73135.

Almost surely, 21125132400 is an apocalyptic number.

1125132400 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 1125132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611896832).

1125132400 is an abundant number, since it is smaller than the sum of its proper divisors (2098661264).

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

1125132400 is a wasteful number, since it uses less digits than its factorization.

1125132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17519 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1125132400 is about 33542.9933070977. The cubic root of 1125132400 is about 1040.0827103845.

Adding to 1125132400 its reverse (42315211), we get a palindrome (1167447611).

The spelling of 1125132400 in words is "one billion, one hundred twenty-five million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 17471 32200 34942 64400 69884 87355 122297 139768 174710 244594 279536 349420 401833 436775 489188 611485 698840 803666 873550 978376 1222970 1397680 1607332 1747100 1956752 2009165 2445940 2812831 3057425 3214664 3494200 4018330 4891880 5625662 6114850 6429328 6988400 8036660 9783760 10045825 11251324 12229700 14064155 16073320 20091650 22502648 24459400 28128310 32146640 40183300 45005296 48918800 56256620 70320775 80366600 112513240 140641550 160733200 225026480 281283100 562566200 1125132400