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122376480 = 25351092339
BaseRepresentation
bin1110100101101…
…01000100100000
322112021100222020
413102311010200
5222312021410
620050541440
73014116512
oct722650440
9275240866
10122376480
1163095296
1234b97880
131c479825
1412377bb2
15ab24a70
hex74b5120

122376480 has 96 divisors (see below), whose sum is σ = 389188800. Its totient is φ = 32320512.

The previous prime is 122376469. The next prime is 122376487. The reversal of 122376480 is 84673221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122376487) 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, 51151 + ... + 53489.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2122376480 is an apocalyptic number.

122376480 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 122376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

122376480 is an abundant number, since it is smaller than the sum of its proper divisors (266812320).

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

122376480 is a wasteful number, since it uses less digits than its factorization.

122376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 122376480 is about 11062.3903384395. The cubic root of 122376480 is about 496.4772115470.

The spelling of 122376480 in words is "one hundred twenty-two million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2339 2616 3270 3488 4360 4678 5232 6540 7017 8720 9356 10464 11695 13080 14034 17440 18712 23390 26160 28068 35085 37424 46780 52320 56136 70170 74848 93560 112272 140340 187120 224544 254951 280680 374240 509902 561360 764853 1019804 1122720 1274755 1529706 2039608 2549510 3059412 3824265 4079216 5099020 6118824 7648530 8158432 10198040 12237648 15297060 20396080 24475296 30594120 40792160 61188240 122376480