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122489280 = 2633514177
BaseRepresentation
bin1110100110100…
…00100111000000
322112111002201000
413103100213000
5222324124110
620053212000
73015066414
oct723204700
9275432630
10122489280
1163162011
1235031000
131c4b8c84
14123a6d44
15ab481c0
hex74d09c0

122489280 has 112 divisors (see below), whose sum is σ = 432145440. Its totient is φ = 32661504.

The previous prime is 122489273. The next prime is 122489287. The reversal of 122489280 is 82984221.

It is an interprime number because it is at equal distance from previous prime (122489273) and next prime (122489287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122489287) 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 15 ways as a sum of consecutive naturals, for example, 1552 + ... + 15728.

Almost surely, 2122489280 is an apocalyptic number.

122489280 is a gapful number since it is divisible by the number (10) 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 122489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216072720).

122489280 is an abundant number, since it is smaller than the sum of its proper divisors (309656160).

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

122489280 is a wasteful number, since it uses less digits than its factorization.

122489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 122489280 is about 11067.4875197580. The cubic root of 122489280 is about 496.6297066221.

It can be divided in two parts, 12248 and 9280, that added together give a triangular number (21528 = T207).

The spelling of 122489280 in words is "one hundred twenty-two million, four hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 14177 28354 42531 56708 70885 85062 113416 127593 141770 170124 212655 226832 255186 283540 340248 382779 425310 453664 510372 567080 637965 680496 765558 850620 907328 1020744 1134160 1275930 1360992 1531116 1701240 1913895 2041488 2268320 2551860 2721984 3062232 3402480 3827790 4082976 4536640 5103720 6124464 6804960 7655580 8165952 10207440 12248928 13609920 15311160 20414880 24497856 30622320 40829760 61244640 122489280