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1127399904 = 25334727763
BaseRepresentation
bin100001100110010…
…1100000111100000
32220120101211221000
41003030230013200
54302103244104
6303512032000
736636512121
oct10314540740
92816354830
101127399904
1152942a264
12275692600
1314c755347
14a9a32048
1568e99639
hex4332c1e0

1127399904 has 96 divisors (see below), whose sum is σ = 3358333440. Its totient is φ = 367790976.

The previous prime is 1127399893. The next prime is 1127399921. The reversal of 1127399904 is 4099937211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1127399904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26727 + ... + 54489.

It is an arithmetic number, because the mean of its divisors is an integer number (34982640).

Almost surely, 21127399904 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 1127399904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679166720).

1127399904 is an abundant number, since it is smaller than the sum of its proper divisors (2230933536).

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

1127399904 is a wasteful number, since it uses less digits than its factorization.

1127399904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27829 (or 27815 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1127399904 is about 33576.7762597900. The cubic root of 1127399904 is about 1040.7809420389.

The spelling of 1127399904 in words is "one billion, one hundred twenty-seven million, three hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 27763 40608 55526 83289 111052 166578 222104 249867 333156 444208 499734 666312 749601 888416 999468 1304861 1332624 1499202 1998936 2609722 2665248 2998404 3914583 3997872 5219444 5996808 7829166 7995744 10438888 11743749 11993616 15658332 20877776 23487498 23987232 31316664 35231247 41755552 46974996 62633328 70462494 93949992 125266656 140924988 187899984 281849976 375799968 563699952 1127399904