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1052120616 = 233178331069
BaseRepresentation
bin111110101101100…
…001011000101000
32201022202021011020
4332231201120220
54123320324431
6252222332440
735033610021
oct7655413050
92638667136
101052120616
1149a992878
1225442a120
13139c888a1
149da37c48
1562579696
hex3eb61628

1052120616 has 64 divisors (see below), whose sum is σ = 2818670400. Its totient is φ = 326089728.

The previous prime is 1052120593. The next prime is 1052120653. The reversal of 1052120616 is 6160212501.

1052120616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10521206162 = 2213915581224438912, which contains 22 as substring.

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

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, 18330 + ... + 49398.

It is an arithmetic number, because the mean of its divisors is an integer number (44041725).

Almost surely, 21052120616 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 1052120616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409335200).

1052120616 is an abundant number, since it is smaller than the sum of its proper divisors (1766549784).

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

1052120616 is a wasteful number, since it uses less digits than its factorization.

1052120616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1052120616 is about 32436.4088024553. The cubic root of 1052120616 is about 1017.0801463297.

The spelling of 1052120616 in words is "one billion, fifty-two million, one hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 664 996 1411 1992 2822 4233 5644 8466 11288 16932 31069 33864 62138 93207 124276 186414 248552 372828 528173 745656 1056346 1584519 2112692 2578727 3169038 4225384 5157454 6338076 7736181 10314908 12676152 15472362 20629816 30944724 43838359 61889448 87676718 131515077 175353436 263030154 350706872 526060308 1052120616