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122090276 = 227111931673
BaseRepresentation
bin1110100011011…
…11001100100100
322111201211101002
413101233030210
5222223342101
620040452432
73011515220
oct721571444
9274654332
10122090276
1162a0a260
1234a7a118
131c3a9489
1412301780
15aab9d6b
hex746f324

122090276 has 96 divisors (see below), whose sum is σ = 289873920. Its totient is φ = 43545600.

The previous prime is 122090263. The next prime is 122090291. The reversal of 122090276 is 672090221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181076 + ... + 181748.

It is an arithmetic number, because the mean of its divisors is an integer number (3019520).

Almost surely, 2122090276 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 122090276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144936960).

122090276 is an abundant number, since it is smaller than the sum of its proper divisors (167783644).

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

122090276 is a wasteful number, since it uses less digits than its factorization.

122090276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 122090276 is about 11049.4468639837. The cubic root of 122090276 is about 496.0898694684.

Subtracting 122090276 from its reverse (672090221), we obtain a palindrome (549999945).

The spelling of 122090276 in words is "one hundred twenty-two million, ninety thousand, two hundred seventy-six".

Divisors: 1 2 4 7 11 14 19 22 28 31 38 44 62 76 77 124 133 154 209 217 266 308 341 418 434 532 589 673 682 836 868 1178 1346 1364 1463 2356 2387 2692 2926 4123 4711 4774 5852 6479 7403 8246 9422 9548 12787 12958 14806 16492 18844 20863 25574 25916 29612 41726 45353 51148 51821 83452 89509 90706 103642 140657 146041 179018 181412 207284 229493 281314 292082 358036 396397 458986 562628 584164 792794 917972 984599 1585588 1606451 1969198 2774779 3212902 3938396 4360367 5549558 6425804 8720734 11099116 17441468 30522569 61045138 122090276