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1357291404 = 223473591667
BaseRepresentation
bin101000011100110…
…1001111110001100
310111120222112210000
41100321221332030
510234431311104
6342403244300
745430533540
oct12071517614
93446875700
101357291404
11637179137
1231a679690
13188277111
14cc395a20
157e25a639
hex50e69f8c

1357291404 has 120 divisors (see below), whose sum is σ = 4068852480. Its totient is φ = 386485344.

The previous prime is 1357291381. The next prime is 1357291457. The reversal of 1357291404 is 4041927531.

1357291404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 813379 + ... + 815045.

It is an arithmetic number, because the mean of its divisors is an integer number (33907104).

Almost surely, 21357291404 is an apocalyptic number.

1357291404 is a gapful number since it is divisible by the number (14) 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 1357291404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034426240).

1357291404 is an abundant number, since it is smaller than the sum of its proper divisors (2711561076).

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

1357291404 is a wasteful number, since it uses less digits than its factorization.

1357291404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1357291404 is about 36841.4359654995. The cubic root of 1357291404 is about 1107.1956381929.

It can be divided in two parts, 13572 and 91404, that added together give a 4-th power (104976 = 184).

The spelling of 1357291404 in words is "one billion, three hundred fifty-seven million, two hundred ninety-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 359 378 567 718 756 1077 1134 1436 1667 2154 2268 2513 3231 3334 4308 5001 5026 6462 6668 7539 9693 10002 10052 11669 12924 15003 15078 19386 20004 22617 23338 29079 30006 30156 35007 38772 45009 45234 46676 58158 60012 67851 70014 90018 90468 105021 116316 135027 135702 140028 180036 203553 210042 270054 271404 315063 407106 420084 540108 598453 630126 814212 945189 1196906 1260252 1795359 1890378 2393812 3590718 3780756 4189171 5386077 7181436 8378342 10772154 12567513 16158231 16756684 21544308 25135026 32316462 37702539 48474693 50270052 64632924 75405078 96949386 113107617 150810156 193898772 226215234 339322851 452430468 678645702 1357291404