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1358454768 = 2431117151343
BaseRepresentation
bin101000011111000…
…0101111111110000
310111200011122121120
41100332011333300
510240231023033
6342444222240
745443450346
oct12076057760
93450148546
101358454768
116378a31a0
1231ab3a980
131885937b8
14cc5b9996
157e3da1b3
hex50f85ff0

1358454768 has 80 divisors (see below), whose sum is σ = 4053597696. Its totient is φ = 387435520.

The previous prime is 1358454767. The next prime is 1358454781. The reversal of 1358454768 is 8674548531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1358454768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358454767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66696 + ... + 84647.

Almost surely, 21358454768 is an apocalyptic number.

It is an amenable number.

1358454768 is an abundant number, since it is smaller than the sum of its proper divisors (2695142928).

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

1358454768 is a wasteful number, since it uses less digits than its factorization.

1358454768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151382 (or 151376 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 1358454768 is about 36857.2213819762. The cubic root of 1358454768 is about 1107.5118816825.

The spelling of 1358454768 in words is "one billion, three hundred fifty-eight million, four hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 151343 302686 454029 605372 908058 1210744 1664773 1816116 2421488 2572831 3329546 3632232 4994319 5145662 6659092 7264464 7718493 9988638 10291324 13318184 15436986 19977276 20582648 26636368 28301141 30873972 39954552 41165296 56602282 61747944 79909104 84903423 113204564 123495888 169806846 226409128 339613692 452818256 679227384 1358454768