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122908104 = 23341143401
BaseRepresentation
bin1110101001101…
…10110111001000
322120021101020000
413110312313020
5222431024404
620110203000
73021462444
oct724666710
9276241200
10122908104
1163418750
12351b3460
131c6047b7
1412475824
15abcc339
hex7536dc8

122908104 has 160 divisors (see below), whose sum is σ = 385244640. Its totient is φ = 36288000.

The previous prime is 122908091. The next prime is 122908127. The reversal of 122908104 is 401809221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 306304 + ... + 306704.

It is an arithmetic number, because the mean of its divisors is an integer number (2407779).

Almost surely, 2122908104 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 122908104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192622320).

122908104 is an abundant number, since it is smaller than the sum of its proper divisors (262336536).

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

122908104 is a wasteful number, since it uses less digits than its factorization.

122908104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122908104 is about 11086.3927406528. The cubic root of 122908104 is about 497.1950998266.

The spelling of 122908104 in words is "one hundred twenty-two million, nine hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 81 86 88 99 108 129 132 162 172 198 216 258 264 297 324 344 387 396 401 473 516 594 648 774 792 802 891 946 1032 1161 1188 1203 1419 1548 1604 1782 1892 2322 2376 2406 2838 3096 3208 3483 3564 3609 3784 4257 4411 4644 4812 5676 6966 7128 7218 8514 8822 9288 9624 10827 11352 12771 13233 13932 14436 17028 17243 17644 21654 25542 26466 27864 28872 32481 34056 34486 35288 38313 39699 43308 51084 51729 52932 64962 68972 76626 79398 86616 102168 103458 105864 119097 129924 137944 153252 155187 158796 189673 206916 238194 259848 306504 310374 317592 357291 379346 413832 465561 476388 569019 620748 714582 758692 931122 952776 1138038 1241496 1396683 1429164 1517384 1707057 1862244 2276076 2793366 2858328 3414114 3724488 4552152 5121171 5586732 6828228 10242342 11173464 13656456 15363513 20484684 30727026 40969368 61454052 122908104