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122506552 = 23767103317
BaseRepresentation
bin1110100110101…
…00110100111000
322112111222101201
413103110310320
5222330202202
620053423544
73015200650
oct723246470
9275458351
10122506552
1163173a93
123503abb4
131c4c3aac
14123ad360
15ab4d387
hex74d4d38

122506552 has 64 divisors (see below), whose sum is σ = 269867520. Its totient is φ = 51055488.

The previous prime is 122506511. The next prime is 122506567. The reversal of 122506552 is 255605221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 122506552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386298 + ... + 386614.

It is an arithmetic number, because the mean of its divisors is an integer number (4216680).

Almost surely, 2122506552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122506552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134933760).

122506552 is an abundant number, since it is smaller than the sum of its proper divisors (147360968).

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

122506552 is a wasteful number, since it uses less digits than its factorization.

122506552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 122506552 is about 11068.2677958206. The cubic root of 122506552 is about 496.6530484883.

The spelling of 122506552 in words is "one hundred twenty-two million, five hundred six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 67 103 134 206 268 317 412 469 536 634 721 824 938 1268 1442 1876 2219 2536 2884 3752 4438 5768 6901 8876 13802 17752 21239 27604 32651 42478 48307 55208 65302 84956 96614 130604 148673 169912 193228 228557 261208 297346 386456 457114 594692 914228 1189384 1828456 2187617 4375234 8750468 15313319 17500936 30626638 61253276 122506552