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122030260 = 225112931617
BaseRepresentation
bin1110100011000…
…00100010110100
322111121210001021
413101200202310
5222214432020
620035310524
73011145232
oct721404264
9274553037
10122030260
1162979160
1234a4b444
131c388071
14122c7952
15aaa71aa
hex74608b4

122030260 has 96 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 41395200.

The previous prime is 122030239. The next prime is 122030269. The reversal of 122030260 is 62030221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030269) by changing a digit.

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, 197472 + ... + 198088.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 2122030260 is an apocalyptic number.

122030260 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 122030260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

122030260 is an abundant number, since it is smaller than the sum of its proper divisors (176982860).

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

122030260 is a wasteful number, since it uses less digits than its factorization.

122030260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122030260 is about 11046.7307380962. The cubic root of 122030260 is about 496.0085684004.

Adding to 122030260 its reverse (62030221), we get a palindrome (184060481).

The spelling of 122030260 in words is "one hundred twenty-two million, thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 110 116 124 145 155 220 290 310 319 341 580 617 620 638 682 899 1234 1276 1364 1595 1705 1798 2468 3085 3190 3410 3596 4495 6170 6380 6787 6820 8990 9889 12340 13574 17893 17980 19127 19778 27148 33935 35786 38254 39556 49445 67870 71572 76508 89465 95635 98890 135740 178930 191270 196823 197780 210397 357860 382540 393646 420794 554683 787292 841588 984115 1051985 1109366 1968230 2103970 2218732 2773415 3936460 4207940 5546830 6101513 11093660 12203026 24406052 30507565 61015130 122030260