Search a number
-
+
122641470 = 23257533673
BaseRepresentation
bin1110100111101…
…01110000111110
322112202211110200
413103311300332
5222344011340
620100344330
73016302210
oct723656076
9275684420
10122641470
1163256396
12350a50a6
131c540323
14124065b0
15ab78330
hex74f5c3e

122641470 has 96 divisors (see below), whose sum is σ = 371397312. Its totient is φ = 27495936.

The previous prime is 122641457. The next prime is 122641483. The reversal of 122641470 is 74146221.

122641470 is a `hidden beast` number, since 12 + 2 + 641 + 4 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122641457) and next prime (122641483).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31554 + ... + 35226.

It is an arithmetic number, because the mean of its divisors is an integer number (3868722).

Almost surely, 2122641470 is an apocalyptic number.

122641470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122641470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185698656).

122641470 is an abundant number, since it is smaller than the sum of its proper divisors (248755842).

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

122641470 is a wasteful number, since it uses less digits than its factorization.

122641470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122641470 is about 11074.3609296428. The cubic root of 122641470 is about 496.8353050050.

Adding to 122641470 its reverse (74146221), we get a palindrome (196787691).

The spelling of 122641470 in words is "one hundred twenty-two million, six hundred forty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3673 3710 4770 5565 6678 7346 11019 11130 16695 18365 22038 25711 33057 33390 36730 51422 55095 66114 77133 110190 128555 154266 165285 194669 231399 257110 330570 385665 389338 462798 584007 771330 973345 1156995 1168014 1362683 1752021 1946690 2313990 2725366 2920035 3504042 4088049 5840070 6813415 8176098 8760105 12264147 13626830 17520210 20440245 24528294 40880490 61320735 122641470