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122987808 = 2534232063
BaseRepresentation
bin1110101010010…
…10010100100000
322120102102120000
413111022110200
5222441102213
620112020000
73022244016
oct725122440
9276372500
10122987808
1163472619
1235231600
131c631b68
14124968b6
15abe5c73
hex754a520

122987808 has 120 divisors (see below), whose sum is σ = 377612928. Its totient is φ = 39194496.

The previous prime is 122987807. The next prime is 122987827. The reversal of 122987808 is 808789221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122987807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58585 + ... + 60647.

Almost surely, 2122987808 is an apocalyptic number.

122987808 is a gapful number since it is divisible by the number (18) 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 122987808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188806464).

122987808 is an abundant number, since it is smaller than the sum of its proper divisors (254625120).

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

122987808 is a wasteful number, since it uses less digits than its factorization.

122987808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 122987808 is about 11089.9868349787. The cubic root of 122987808 is about 497.3025510412.

The spelling of 122987808 in words is "one hundred twenty-two million, nine hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2063 2208 2484 2592 3312 3726 4126 4968 6189 6624 7452 8252 9936 12378 14904 16504 18567 19872 24756 29808 33008 37134 47449 49512 55701 59616 66016 74268 94898 99024 111402 142347 148536 167103 189796 198048 222804 284694 297072 334206 379592 427041 445608 569388 594144 668412 759184 854082 891216 1138776 1281123 1336824 1518368 1708164 1782432 2277552 2562246 2673648 3416328 3843369 4555104 5124492 5347296 6832656 7686738 10248984 13665312 15373476 20497968 30746952 40995936 61493904 122987808