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121641408 = 2632730169
BaseRepresentation
bin1110100000000…
…01100111000000
322110220000122100
413100001213000
5222120011113
620023110400
73004635450
oct720014700
9273800570
10121641408
1162732a99
12348a2400
131c280085
1412225d60
15aa2bd73
hex74019c0

121641408 has 84 divisors (see below), whose sum is σ = 398485360. Its totient is φ = 34753536.

The previous prime is 121641407. The next prime is 121641431. The reversal of 121641408 is 804146121.

It is a happy number.

121641408 is a `hidden beast` number, since 1 + 216 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121641407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11053 + ... + 19116.

Almost surely, 2121641408 is an apocalyptic number.

121641408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121641408 is an abundant number, since it is smaller than the sum of its proper divisors (276843952).

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

121641408 is a wasteful number, since it uses less digits than its factorization.

121641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30194 (or 30181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121641408 is about 11029.1163743974. The cubic root of 121641408 is about 495.4811605457.

Adding to 121641408 its reverse (804146121), we get a palindrome (925787529).

It can be divided in two parts, 1216 and 41408, that added together give a palindrome (42624).

The spelling of 121641408 in words is "one hundred twenty-one million, six hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 30169 60338 90507 120676 181014 211183 241352 271521 362028 422366 482704 543042 633549 724056 844732 965408 1086084 1267098 1448112 1689464 1900647 1930816 2172168 2534196 2896224 3378928 3801294 4344336 5068392 5792448 6757856 7602588 8688672 10136784 13515712 15205176 17377344 20273568 30410352 40547136 60820704 121641408