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122070624 = 2531397813
BaseRepresentation
bin1110100011010…
…10011001100000
322111200211102020
413101222121200
5222222224444
620040221440
73011404014
oct721523140
9274624366
10122070624
11629a6515
1234a6a880
131c3a0550
14122d8544
15aab4119
hex746a660

122070624 has 48 divisors (see below), whose sum is σ = 345087792. Its totient is φ = 37559808.

The previous prime is 122070617. The next prime is 122070667. The reversal of 122070624 is 426070221.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122070594 and 122070603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47659 + ... + 50154.

It is an arithmetic number, because the mean of its divisors is an integer number (7189329).

Almost surely, 2122070624 is an apocalyptic number.

It is an amenable number.

122070624 is an abundant number, since it is smaller than the sum of its proper divisors (223017168).

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

122070624 is a wasteful number, since it uses less digits than its factorization.

122070624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97839 (or 97831 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122070624 is about 11048.5575529116. The cubic root of 122070624 is about 496.0632506921.

The spelling of 122070624 in words is "one hundred twenty-two million, seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 97813 195626 293439 391252 586878 782504 1173756 1271569 1565008 2347512 2543138 3130016 3814707 4695024 5086276 7629414 9390048 10172552 15258828 20345104 30517656 40690208 61035312 122070624