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122054640 = 24354311827
BaseRepresentation
bin1110100011001…
…10011111110000
322111200000111020
413101212133300
5222221222030
620040015440
73011306301
oct721463760
9274600436
10122054640
1162995504
1234a61580
131c3961a6
14122d27a8
15aaae510
hex74667f0

122054640 has 80 divisors (see below), whose sum is σ = 387201408. Its totient is φ = 31788288.

The previous prime is 122054633. The next prime is 122054641. The reversal of 122054640 is 46450221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122054640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122054641) 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, 4407 + ... + 16233.

Almost surely, 2122054640 is an apocalyptic number.

122054640 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 122054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193600704).

122054640 is an abundant number, since it is smaller than the sum of its proper divisors (265146768).

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

122054640 is a wasteful number, since it uses less digits than its factorization.

122054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122054640 is about 11047.8341768873. The cubic root of 122054640 is about 496.0415981414.

The spelling of 122054640 in words is "one hundred twenty-two million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 11827 23654 35481 47308 59135 70962 94616 118270 141924 177405 189232 236540 283848 354810 473080 508561 567696 709620 946160 1017122 1419240 1525683 2034244 2542805 2838480 3051366 4068488 5085610 6102732 7628415 8136976 10171220 12205464 15256830 20342440 24410928 30513660 40684880 61027320 122054640