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1355053400 = 2352193111503
BaseRepresentation
bin101000011000100…
…0111100101011000
310111102202211210222
41100301013211120
510233343202100
6342243255212
745402523001
oct12061074530
93442684728
101355053400
1163598a748
1231997a508
1318797255c
14cbd721a8
157de67485
hex50c47958

1355053400 has 96 divisors (see below), whose sum is σ = 3423590400. Its totient is φ = 496886400.

The previous prime is 1355053363. The next prime is 1355053411. The reversal of 1355053400 is 43505531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355053400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112049 + ... + 123551.

It is an arithmetic number, because the mean of its divisors is an integer number (35662400).

Almost surely, 21355053400 is an apocalyptic number.

1355053400 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 1355053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711795200).

1355053400 is an abundant number, since it is smaller than the sum of its proper divisors (2068537000).

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

1355053400 is a wasteful number, since it uses less digits than its factorization.

1355053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1355053400 is about 36811.0499714420. The cubic root of 1355053400 is about 1106.5867609763.

Adding to 1355053400 its reverse (43505531), we get a palindrome (1398558931).

The spelling of 1355053400 in words is "one billion, three hundred fifty-five million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11503 11780 14725 23006 23560 29450 46012 57515 58900 92024 115030 117800 218557 230060 287575 356593 437114 460120 575150 713186 874228 1092785 1150300 1426372 1748456 1782965 2185570 2300600 2852744 3565930 4371140 5463925 6775267 7131860 8742280 8914825 10927850 13550534 14263720 17829650 21855700 27101068 33876335 35659300 43711400 54202136 67752670 71318600 135505340 169381675 271010680 338763350 677526700 1355053400