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1115426004 = 2237211315563
BaseRepresentation
bin100001001111100…
…0000110011010100
32212201212111211020
41002133000303110
54241022113004
6302403241140
736432651600
oct10237006324
92781774736
101115426004
115226a1080
122716791b0
1314a1221b4
14a81d6500
1567dd18d9
hex427c0cd4

1115426004 has 144 divisors (see below), whose sum is σ = 3409975296. Its totient is φ = 280324800.

The previous prime is 1115425999. The next prime is 1115426023. The reversal of 1115426004 is 4006245111.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 197727 + ... + 203289.

It is an arithmetic number, because the mean of its divisors is an integer number (23680384).

Almost surely, 21115426004 is an apocalyptic number.

1115426004 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 1115426004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704987648).

1115426004 is an abundant number, since it is smaller than the sum of its proper divisors (2294549292).

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

1115426004 is a wasteful number, since it uses less digits than its factorization.

1115426004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1115426004 is about 33397.9940116169. The cubic root of 1115426004 is about 1037.0831743887.

The spelling of 1115426004 in words is "one billion, one hundred fifteen million, four hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 462 539 588 651 682 868 924 1023 1078 1302 1364 1519 1617 2046 2156 2387 2604 3038 3234 4092 4557 4774 5563 6076 6468 7161 9114 9548 11126 14322 16689 16709 18228 22252 28644 33378 33418 38941 50127 61193 66756 66836 77882 100254 116823 122386 155764 172453 183579 200508 233646 244772 272587 344906 367158 428351 467292 517359 545174 689812 734316 817761 856702 1034718 1090348 1207171 1285053 1635522 1713404 1896983 2069436 2414342 2570106 2998457 3271044 3621513 3793966 4828684 5140212 5690949 5996914 7243026 7587932 8450197 8995371 11381898 11993828 13278881 14486052 16900394 17990742 22763796 25350591 26557762 33800788 35981484 39836643 50701182 53115524 79673286 92952167 101402364 159346572 185904334 278856501 371808668 557713002 1115426004