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1354012400 = 245213260387
BaseRepresentation
bin101000010110100…
…1001011011110000
310111100210221211102
41100231021123300
510233111344100
6342205103532
745360626006
oct12055113360
93440727742
101354012400
11635339614
12319557ba8
13187699790
14cbb80a76
157dd0dcd5
hex50b496f0

1354012400 has 60 divisors (see below), whose sum is σ = 3503260152. Its totient is φ = 499941120.

The previous prime is 1354012399. The next prime is 1354012403. The reversal of 1354012400 is 42104531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354012403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124994 + ... + 135393.

Almost surely, 21354012400 is an apocalyptic number.

1354012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354012400 is an abundant number, since it is smaller than the sum of its proper divisors (2149247752).

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

1354012400 is a wasteful number, since it uses less digits than its factorization.

1354012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260418 (or 260407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1354012400 is about 36796.9074787542. The cubic root of 1354012400 is about 1106.3033153361.

Adding to 1354012400 its reverse (42104531), we get a palindrome (1396116931).

The spelling of 1354012400 in words is "one billion, three hundred fifty-four million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 260387 520774 1041548 1301935 2083096 2603870 3385031 4166192 5207740 6509675 6770062 10415480 13019350 13540124 16925155 20830960 26038700 27080248 33850310 52077400 54160496 67700620 84625775 104154800 135401240 169251550 270802480 338503100 677006200 1354012400