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121642140 = 223517313847
BaseRepresentation
bin1110100000000…
…01110010011100
322110220001122110
413100001302130
5222120022030
620023114020
73004640544
oct720016234
9273801573
10121642140
11627335a4
12348a2910
131c2804c9
1412226324
15aa2c1b0
hex7401c9c

121642140 has 96 divisors (see below), whose sum is σ = 372363264. Its totient is φ = 29537280.

The previous prime is 121642139. The next prime is 121642151. The reversal of 121642140 is 41246121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29697 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (3878784).

Almost surely, 2121642140 is an apocalyptic number.

121642140 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 121642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632).

121642140 is an abundant number, since it is smaller than the sum of its proper divisors (250721124).

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

121642140 is a wasteful number, since it uses less digits than its factorization.

121642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121642140 is about 11029.1495592362. The cubic root of 121642140 is about 495.4821544273.

Adding to 121642140 its reverse (41246121), we get a palindrome (162888261).

The spelling of 121642140 in words is "one hundred twenty-one million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 3847 5270 6324 7694 7905 10540 11541 15388 15810 19235 23082 31620 38470 46164 57705 65399 76940 115410 119257 130798 196197 230820 238514 261596 326995 357771 392394 477028 596285 653990 715542 784788 980985 1192570 1307980 1431084 1788855 1961970 2027369 2385140 3577710 3923940 4054738 6082107 7155420 8109476 10136845 12164214 20273690 24328428 30410535 40547380 60821070 121642140