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122424540 = 22357241641
BaseRepresentation
bin1110100110000…
…00110011011100
322112100210220020
413103000303130
5222320041130
620051552140
73014406600
oct723006334
9275323806
10122424540
1163118407
1234bbb650
131c495674
141238b500
15ab33e10
hex74c0cdc

122424540 has 72 divisors (see below), whose sum is σ = 398763792. Its totient is φ = 27982080.

The previous prime is 122424529. The next prime is 122424551. The reversal of 122424540 is 45424221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122424529) and next prime (122424551).

It is a super-3 number, since 3×1224245403 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122424540.

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 23 ways as a sum of consecutive naturals, for example, 17881 + ... + 23760.

It is an arithmetic number, because the mean of its divisors is an integer number (5538386).

Almost surely, 2122424540 is an apocalyptic number.

122424540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122424540 is an abundant number, since it is smaller than the sum of its proper divisors (276339252).

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

122424540 is a wasteful number, since it uses less digits than its factorization.

122424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41667 (or 41658 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 122424540 is about 11064.5623501339. The cubic root of 122424540 is about 496.5421956352.

Adding to 122424540 its reverse (45424221), we get a palindrome (167848761).

The spelling of 122424540 in words is "one hundred twenty-two million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 41641 83282 124923 166564 208205 249846 291487 416410 499692 582974 624615 832820 874461 1165948 1249230 1457435 1748922 2040409 2498460 2914870 3497844 4080818 4372305 5829740 6121227 8161636 8744610 10202045 12242454 17489220 20404090 24484908 30606135 40808180 61212270 122424540