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123255104 = 2672953179
BaseRepresentation
bin1110101100010…
…11100101000000
322120221000012212
413112023211000
5223023130404
620121441252
73024436220
oct726134500
9276830185
10123255104
1163635425
1235340228
131c6c671b
1412526080
15ac4a06e
hex758b940

123255104 has 112 divisors (see below), whose sum is σ = 296265600. Its totient is φ = 49760256.

The previous prime is 123255079. The next prime is 123255107. The reversal of 123255104 is 401552321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 123255104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123255107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688487 + ... + 688665.

Almost surely, 2123255104 is an apocalyptic number.

123255104 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 123255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132800).

123255104 is an abundant number, since it is smaller than the sum of its proper divisors (173010496).

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

123255104 is a wasteful number, since it uses less digits than its factorization.

123255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 123255104 is about 11102.0315258064. The cubic root of 123255104 is about 497.6625617931.

The spelling of 123255104 in words is "one hundred twenty-three million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 64 106 112 116 179 203 212 224 232 358 371 406 424 448 464 716 742 812 848 928 1253 1432 1484 1537 1624 1696 1856 2506 2864 2968 3074 3248 3392 5012 5191 5728 5936 6148 6496 9487 10024 10382 10759 11456 11872 12296 12992 18974 20048 20764 21518 23744 24592 36337 37948 40096 41528 43036 49184 66409 72674 75896 80192 83056 86072 98368 132818 145348 151792 166112 172144 265636 275123 290696 303584 332224 344288 531272 550246 581392 607168 688576 1062544 1100492 1162784 1925861 2125088 2200984 2325568 3851722 4250176 4401968 7703444 8803936 15406888 17607872 30813776 61627552 123255104