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1120120164 = 223941347
BaseRepresentation
bin100001011000011…
…1010110101100100
32220001201000000000
41002300322311210
54243222321124
6303052021300
736520602312
oct10260726544
92801630000
101120120164
11525307949
12273161830
1314b0a69c7
14a8a990b2
156850c6c9
hex42c3ad64

1120120164 has 120 divisors (see below), whose sum is σ = 3020659488. Its totient is φ = 363216960.

The previous prime is 1120120153. The next prime is 1120120181. The reversal of 1120120164 is 4610210211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3227839 + ... + 3228185.

Almost surely, 21120120164 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 1120120164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510329744).

1120120164 is an abundant number, since it is smaller than the sum of its proper divisors (1900539324).

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

1120120164 is an frugal number, since it uses more digits than its factorization.

1120120164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1120120164 is about 33468.1963063443. The cubic root of 1120120164 is about 1038.5359589743.

Adding to 1120120164 its reverse (4610210211), we get a palindrome (5730330375).

The spelling of 1120120164 in words is "one billion, one hundred twenty million, one hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 347 369 486 492 694 729 738 972 1041 1107 1388 1458 1476 2082 2187 2214 2916 3123 3321 4164 4374 4428 6246 6561 6642 8748 9369 9963 12492 13122 13284 14227 18738 19683 19926 26244 28107 28454 29889 37476 39366 39852 42681 56214 56908 59778 78732 84321 85362 89667 112428 119556 128043 168642 170724 179334 252963 256086 269001 337284 358668 384129 505926 512172 538002 758889 768258 807003 1011852 1076004 1152387 1517778 1536516 1614006 2276667 2304774 3035556 3228012 3457161 4553334 4609548 6830001 6914322 9106668 10371483 13660002 13828644 20742966 27320004 31114449 41485932 62228898 93343347 124457796 186686694 280030041 373373388 560060082 1120120164