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122434620 = 223571126501
BaseRepresentation
bin1110100110000…
…11010000111100
322112101022201120
413103003100330
5222320401440
620052110540
73014451150
oct723032074
9275338646
10122434620
1163124a40
1235005450
131c49a129
1412391060
15ab36dd0
hex74c343c

122434620 has 96 divisors (see below), whose sum is σ = 427424256. Its totient is φ = 25440000.

The previous prime is 122434619. The next prime is 122434633. The reversal of 122434620 is 26434221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8631 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (4452336).

Almost surely, 2122434620 is an apocalyptic number.

122434620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122434620 is an abundant number, since it is smaller than the sum of its proper divisors (304989636).

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

122434620 is a wasteful number, since it uses less digits than its factorization.

122434620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26531 (or 26529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 122434620 is about 11065.0178490593. The cubic root of 122434620 is about 496.5558230990. Note that the first 3 decimals are identical.

Adding to 122434620 its reverse (26434221), we get a palindrome (148868841).

The spelling of 122434620 in words is "one hundred twenty-two million, four hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 26501 53002 79503 106004 132505 159006 185507 265010 291511 318012 371014 397515 530020 556521 583022 742028 795030 874533 927535 1113042 1166044 1457555 1590060 1749066 1855070 2040577 2226084 2782605 2915110 3498132 3710140 4081154 4372665 5565210 5830220 6121731 8162308 8745330 10202885 11130420 12243462 17490660 20405770 24486924 30608655 40811540 61217310 122434620