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122690040 = 233511412267
BaseRepresentation
bin1110101000000…
…01100111111000
322112212022002120
413110001213320
5222402040130
620101401240
73016563624
oct724014770
9275768076
10122690040
1163289930
1235109220
131c559475
141241a184
15ab87910
hex75019f8

122690040 has 128 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 29004800.

The previous prime is 122690023. The next prime is 122690041. The reversal of 122690040 is 40096221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122690041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52987 + ... + 55253.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2122690040 is an apocalyptic number.

122690040 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 122690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

122690040 is an abundant number, since it is smaller than the sum of its proper divisors (288815880).

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

122690040 is a wasteful number, since it uses less digits than its factorization.

122690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 122690040 is about 11076.5536156333. The cubic root of 122690040 is about 496.9008839805.

The spelling of 122690040 in words is "one hundred twenty-two million, six hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2267 2460 2706 3608 4510 4534 4920 5412 6765 6801 9020 9068 10824 11335 13530 13602 18040 18136 22670 24937 27060 27204 34005 45340 49874 54120 54408 68010 74811 90680 92947 99748 124685 136020 149622 185894 199496 249370 272040 278841 299244 371788 374055 464735 498740 557682 598488 743576 748110 929470 997480 1022417 1115364 1394205 1496220 1858940 2044834 2230728 2788410 2992440 3067251 3717880 4089668 5112085 5576820 6134502 8179336 10224170 11153640 12269004 15336255 20448340 24538008 30672510 40896680 61345020 122690040