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1121399064 = 2332432811289
BaseRepresentation
bin100001011010111…
…0011000100011000
32220011002222022200
41002311303010120
54244034232224
6303135250200
736534510012
oct10265630430
92804088280
101121399064
11526000795
12273679960
1314b433b56
14a8d0d1b2
15686b15c9
hex42d73118

1121399064 has 96 divisors (see below), whose sum is σ = 3121232400. Its totient is φ = 363525120.

The previous prime is 1121399047. The next prime is 1121399089. The reversal of 1121399064 is 4609931211.

It is a happy number.

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 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, 869332 + ... + 870620.

Almost surely, 21121399064 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 1121399064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560616200).

1121399064 is an abundant number, since it is smaller than the sum of its proper divisors (1999833336).

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

1121399064 is a wasteful number, since it uses less digits than its factorization.

1121399064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1121399064 is about 33487.2970542563. The cubic root of 1121399064 is about 1038.9310589869.

The spelling of 1121399064 in words is "one billion, one hundred twenty-one million, three hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 281 344 387 516 562 774 843 1032 1124 1289 1548 1686 2248 2529 2578 3096 3372 3867 5058 5156 6744 7734 10116 10312 11601 12083 15468 20232 23202 24166 30936 36249 46404 48332 55427 72498 92808 96664 108747 110854 144996 166281 217494 221708 289992 332562 362209 434988 443416 498843 665124 724418 869976 997686 1086627 1330248 1448836 1995372 2173254 2897672 3259881 3990744 4346508 6519762 8693016 13039524 15574987 26079048 31149974 46724961 62299948 93449922 124599896 140174883 186899844 280349766 373799688 560699532 1121399064