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122413540 = 225109233241
BaseRepresentation
bin1110100101111…
…10000111100100
322112100020210211
413102332013210
5222314213130
620051425204
73014332534
oct722760744
9275306724
10122413540
1163110117
1234bb5204
131c490662
14123874c4
15ab30a2a
hex74be1e4

122413540 has 48 divisors (see below), whose sum is σ = 261621360. Its totient is φ = 48107520.

The previous prime is 122413493. The next prime is 122413541. The reversal of 122413540 is 45314221.

It can be written as a sum of positive squares in 8 ways, for example, as 1444 + 122412096 = 38^2 + 11064^2 .

It is not an unprimeable number, because it can be changed into a prime (122413541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507820 + ... + 508060.

It is an arithmetic number, because the mean of its divisors is an integer number (5450445).

Almost surely, 2122413540 is an apocalyptic number.

122413540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122413540 is an abundant number, since it is smaller than the sum of its proper divisors (139207820).

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

122413540 is a wasteful number, since it uses less digits than its factorization.

122413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 122413540 is about 11064.0652564959. The cubic root of 122413540 is about 496.5273235413.

Adding to 122413540 its reverse (45314221), we get a palindrome (167727761).

The spelling of 122413540 in words is "one hundred twenty-two million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 218 233 241 436 466 482 545 932 964 1090 1165 1205 2180 2330 2410 4660 4820 25397 26269 50794 52538 56153 101588 105076 112306 126985 131345 224612 253970 262690 280765 507940 525380 561530 1123060 6120677 12241354 24482708 30603385 61206770 122413540