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122030440 = 23573711779
BaseRepresentation
bin1110100011000…
…00100101101000
322111121210021221
413101200211220
5222214433230
620035311424
73011145610
oct721404550
9274553257
10122030440
1162979304
1234a4b574
131c38817c
14122c7a40
15aaa727a
hex7460968

122030440 has 64 divisors (see below), whose sum is σ = 322300800. Its totient is φ = 40704768.

The previous prime is 122030417. The next prime is 122030443. The reversal of 122030440 is 44030221.

It is not an unprimeable number, because it can be changed into a prime (122030443) 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 15 ways as a sum of consecutive naturals, for example, 4471 + ... + 16249.

It is an arithmetic number, because the mean of its divisors is an integer number (5035950).

Almost surely, 2122030440 is an apocalyptic number.

122030440 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 122030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161150400).

122030440 is an abundant number, since it is smaller than the sum of its proper divisors (200270360).

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

122030440 is a wasteful number, since it uses less digits than its factorization.

122030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122030440 is about 11046.7388853000. The cubic root of 122030440 is about 496.0088122784.

Adding to 122030440 its reverse (44030221), we get a palindrome (166060661).

The spelling of 122030440 in words is "one hundred twenty-two million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 11779 23558 47116 58895 82453 94232 117790 164906 235580 329812 412265 435823 471160 659624 824530 871646 1649060 1743292 2179115 3050761 3298120 3486584 4358230 6101522 8716460 12203044 15253805 17432920 24406088 30507610 61015220 122030440