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1159041436 = 227172433331
BaseRepresentation
bin100010100010101…
…1001000110011100
32222202221101221121
41011011121012130
54333203311221
6311002140324
740502455360
oct10505310634
92882841847
101159041436
11545280a93
122841b16a4
13156183547
14add0b2a0
156bb49a41
hex4515919c

1159041436 has 72 divisors (see below), whose sum is σ = 2520484736. Its totient is φ = 456503040.

The previous prime is 1159041427. The next prime is 1159041511. The reversal of 1159041436 is 6341409511.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 346291 + ... + 349621.

Almost surely, 21159041436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1159041436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260242368).

1159041436 is an abundant number, since it is smaller than the sum of its proper divisors (1361443300).

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

1159041436 is a wasteful number, since it uses less digits than its factorization.

1159041436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1159041436 is about 34044.6976194532. The cubic root of 1159041436 is about 1050.4280751895.

The spelling of 1159041436 in words is "one billion, one hundred fifty-nine million, forty-one thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 289 301 476 578 602 731 1156 1204 1462 2023 2924 3331 4046 5117 6662 8092 10234 12427 13324 20468 23317 24854 46634 49708 56627 86989 93268 113254 143233 173978 226508 286466 347956 396389 572932 792778 962659 1002631 1585556 1925318 2005262 2434961 3850636 4010524 4869922 6738613 9739844 13477226 17044727 26954452 34089454 41394337 68178908 82788674 165577348 289760359 579520718 1159041436