Search a number
-
+
121803696 = 2433747857
BaseRepresentation
bin1110100001010…
…01001110110000
322111012021021000
413100221032300
5222140204241
620030402000
73006212550
oct720511660
9274167230
10121803696
1162833a13
1234960300
131c308bc1
1412269160
15aa5eeb6
hex74293b0

121803696 has 160 divisors (see below), whose sum is σ = 408545280. Its totient is φ = 34020864.

The previous prime is 121803659. The next prime is 121803733. The reversal of 121803696 is 696308121.

It is an interprime number because it is at equal distance from previous prime (121803659) and next prime (121803733).

It is a super-2 number, since 2×1218036962 = 29672280718520832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121803696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141700 + ... + 142556.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 2121803696 is an apocalyptic number.

121803696 is a gapful number since it is divisible by the number (16) 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 121803696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

121803696 is an abundant number, since it is smaller than the sum of its proper divisors (286741584).

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

121803696 is a wasteful number, since it uses less digits than its factorization.

121803696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 121803696 is about 11036.4711751538. The cubic root of 121803696 is about 495.7014115123.

It can be divided in two parts, 12180 and 3696, that added together give a square (15876 = 1262).

The spelling of 121803696 in words is "one hundred twenty-one million, eight hundred three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 857 987 1008 1128 1269 1316 1512 1692 1714 1974 2256 2538 2571 2632 2961 3024 3384 3428 3948 5076 5142 5264 5922 5999 6768 6856 7713 7896 8883 10152 10284 11844 11998 13712 15426 15792 17766 17997 20304 20568 23139 23688 23996 30852 35532 35994 40279 41136 46278 47376 47992 53991 61704 71064 71988 80558 92556 95984 107982 120837 123408 142128 143976 161116 161973 185112 215964 241674 281953 287952 322232 323946 362511 370224 431928 483348 563906 644464 647892 725022 845859 863856 966696 1087533 1127812 1295784 1450044 1691718 1933392 2175066 2255624 2537577 2591568 2900088 3383436 4350132 4511248 5075154 5800176 6766872 7612731 8700264 10150308 13533744 15225462 17400528 20300616 30450924 40601232 60901848 121803696