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121954690 = 25112137753
BaseRepresentation
bin1110100010011…
…10000110000010
322111110221101101
413101032012002
5222210022230
620033525014
73010412014
oct721160602
9274427341
10121954690
1162927400
1234a1376a
131c35c850
14122a81b4
15aa8eaca
hex744e182

121954690 has 48 divisors (see below), whose sum is σ = 259883064. Its totient is φ = 40930560.

The previous prime is 121954681. The next prime is 121954691. The reversal of 121954690 is 96459121.

It can be written as a sum of positive squares in 4 ways, for example, as 111281401 + 10673289 = 10549^2 + 3267^2 .

It is a super-2 number, since 2×1219546902 = 29745892825992200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (121954691) 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 23 ways as a sum of consecutive naturals, for example, 11854 + ... + 19606.

Almost surely, 2121954690 is an apocalyptic number.

121954690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121954690 is an abundant number, since it is smaller than the sum of its proper divisors (137928374).

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

121954690 is a wasteful number, since it uses less digits than its factorization.

121954690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 121954690 is about 11043.3097393852. The cubic root of 121954690 is about 495.9061590809.

The spelling of 121954690 in words is "one hundred twenty-one million, nine hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7753 7865 15506 15730 38765 77530 85283 100789 170566 201578 426415 503945 852830 938113 1007890 1108679 1876226 2217358 4690565 5543395 9381130 11086790 12195469 24390938 60977345 121954690