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1350541400 = 2352132691931
BaseRepresentation
bin101000001111111…
…1010000001011000
310111010021121111212
41100133322001120
510231214311100
6342002442252
745316261325
oct12037720130
93433247455
101350541400
1163338881a
12318363388
13186a52930
14cb519b4c
157d875635
hex507fa058

1350541400 has 96 divisors (see below), whose sum is σ = 3395876400. Its totient is φ = 496550400.

The previous prime is 1350541399. The next prime is 1350541427. The reversal of 1350541400 is 41450531.

It is a super-2 number, since 2×13505414002 = 3647924146227920000, 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 23 ways as a sum of consecutive naturals, for example, 698435 + ... + 700365.

Almost surely, 21350541400 is an apocalyptic number.

1350541400 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 1350541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697938200).

1350541400 is an abundant number, since it is smaller than the sum of its proper divisors (2045335000).

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

1350541400 is a wasteful number, since it uses less digits than its factorization.

1350541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1350541400 is about 36749.7129240488. The cubic root of 1350541400 is about 1105.3571731540.

Adding to 1350541400 its reverse (41450531), we get a palindrome (1391991931).

The spelling of 1350541400 in words is "one billion, three hundred fifty million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 269 325 520 538 650 1076 1300 1345 1931 2152 2600 2690 3497 3862 5380 6725 6994 7724 9655 10760 13450 13988 15448 17485 19310 25103 26900 27976 34970 38620 48275 50206 53800 69940 77240 87425 96550 100412 125515 139880 174850 193100 200824 251030 349700 386200 502060 519439 627575 699400 1004120 1038878 1255150 2077756 2510300 2597195 4155512 5020600 5194390 6752707 10388780 12985975 13505414 20777560 25971950 27010828 33763535 51943900 54021656 67527070 103887800 135054140 168817675 270108280 337635350 675270700 1350541400