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121796688 = 243131910273
BaseRepresentation
bin1110100001001…
…11100001010000
322111011220122110
413100213201100
5222134443223
620030305320
73006153246
oct720474120
9274156573
10121796688
1162829722
1234958240
131c305960
1412266796
15aa5cd93
hex7427850

121796688 has 80 divisors (see below), whose sum is σ = 356713280. Its totient is φ = 35500032.

The previous prime is 121796663. The next prime is 121796713. The reversal of 121796688 is 886697121.

It is an interprime number because it is at equal distance from previous prime (121796663) and next prime (121796713).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 6720 + ... + 16992.

It is an arithmetic number, because the mean of its divisors is an integer number (4458916).

Almost surely, 2121796688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121796688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178356640).

121796688 is an abundant number, since it is smaller than the sum of its proper divisors (234916592).

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

121796688 is a wasteful number, since it uses less digits than its factorization.

121796688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10310 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 121796688 is about 11036.1536777992. The cubic root of 121796688 is about 495.6919045701.

The spelling of 121796688 in words is "one hundred twenty-one million, seven hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 10273 11856 20546 30819 41092 61638 82184 123276 133549 164368 195187 246552 267098 390374 400647 493104 534196 585561 780748 801294 1068392 1171122 1561496 1602588 2136784 2342244 2537431 3122992 3205176 4684488 5074862 6410352 7612293 9368976 10149724 15224586 20299448 30449172 40598896 60898344 121796688