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122652480 = 2635127763
BaseRepresentation
bin1110100111110…
…00011101000000
322112210101120110
413103320131000
5222344334410
620100511320
73016346256
oct723703500
9275711513
10122652480
1163263695
12350ab540
131c545342
141240a5d6
15ab7b720
hex74f8740

122652480 has 56 divisors (see below), whose sum is σ = 389424672. Its totient is φ = 32707072.

The previous prime is 122652463. The next prime is 122652487. The reversal of 122652480 is 84256221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122652487) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62922 + ... + 64841.

It is an arithmetic number, because the mean of its divisors is an integer number (6954012).

Almost surely, 2122652480 is an apocalyptic number.

122652480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122652480 is an abundant number, since it is smaller than the sum of its proper divisors (266772192).

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

122652480 is a wasteful number, since it uses less digits than its factorization.

122652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127783 (or 127773 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 122652480 is about 11074.8580126338. The cubic root of 122652480 is about 496.8501721703.

The spelling of 122652480 in words is "one hundred twenty-two million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 127763 255526 383289 511052 638815 766578 1022104 1277630 1533156 1916445 2044208 2555260 3066312 3832890 4088416 5110520 6132624 7665780 8176832 10221040 12265248 15331560 20442080 24530496 30663120 40884160 61326240 122652480