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1013055400 = 235272167619
BaseRepresentation
bin111100011000011…
…111111110101000
32121121020112202101
4330120133332220
54033320233100
6244305143144
734050554200
oct7430377650
92547215671
101013055400
1147a930575
1224332aab4
13131b5b686
1498789400
155de0e86a
hex3c61ffa8

1013055400 has 144 divisors (see below), whose sum is σ = 2760760800. Its totient is φ = 344695680.

The previous prime is 1013055389. The next prime is 1013055413. The reversal of 1013055400 is 45503101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1636291 + ... + 1636909.

It is an arithmetic number, because the mean of its divisors is an integer number (19171950).

Almost surely, 21013055400 is an apocalyptic number.

1013055400 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 1013055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380380400).

1013055400 is an abundant number, since it is smaller than the sum of its proper divisors (1747705400).

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

1013055400 is a wasteful number, since it uses less digits than its factorization.

1013055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1013055400 is about 31828.5312259300. The cubic root of 1013055400 is about 1004.3329980111.

Adding to 1013055400 its reverse (45503101), we get a palindrome (1058558501).

The spelling of 1013055400 in words is "one billion, thirteen million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 167 175 196 200 245 280 334 350 392 490 619 668 700 835 980 1169 1225 1238 1336 1400 1670 1960 2338 2450 2476 3095 3340 4175 4333 4676 4900 4952 5845 6190 6680 8183 8350 8666 9352 9800 11690 12380 15475 16366 16700 17332 21665 23380 24760 29225 30331 30950 32732 33400 34664 40915 43330 46760 58450 60662 61900 65464 81830 86660 103373 108325 116900 121324 123800 151655 163660 173320 204575 206746 216650 233800 242648 303310 327320 409150 413492 433300 516865 606620 723611 758275 818300 826984 866600 1033730 1213240 1447222 1516550 1636600 2067460 2584325 2894444 3033100 3618055 4134920 5065277 5168650 5788888 6066200 7236110 10130554 10337300 14472220 18090275 20261108 20674600 25326385 28944440 36180550 40522216 50652770 72361100 101305540 126631925 144722200 202611080 253263850 506527700 1013055400