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1686620052 = 22321371193263
BaseRepresentation
bin110010010000111…
…1100011110010100
311100112200011202100
41210201330132110
511423233320202
6435210042100
756540014425
oct14441743624
94315604670
101686620052
11796064677
123b0a19330
1320b573440
1412000164c
159d10e41c
hex6487c794

1686620052 has 144 divisors (see below), whose sum is σ = 4697941248. Its totient is φ = 507064320.

The previous prime is 1686620041. The next prime is 1686620053. The reversal of 1686620052 is 2500266861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1686619989 and 1686620016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686620053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6412873 + ... + 6413135.

It is an arithmetic number, because the mean of its divisors is an integer number (32624592).

Almost surely, 21686620052 is an apocalyptic number.

1686620052 is a gapful number since it is divisible by the number (12) 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 1686620052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348970624).

1686620052 is an abundant number, since it is smaller than the sum of its proper divisors (3011321196).

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

1686620052 is a wasteful number, since it uses less digits than its factorization.

1686620052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1686620052 is about 41068.4800303103. The cubic root of 1686620052 is about 1190.3438151622.

The spelling of 1686620052 in words is "one billion, six hundred eighty-six million, six hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 193 213 234 263 284 386 426 468 526 579 639 772 789 852 923 1052 1158 1278 1578 1737 1846 2316 2367 2509 2556 2769 3156 3419 3474 3692 4734 5018 5538 6838 6948 7527 8307 9468 10036 10257 11076 13676 13703 15054 16614 18673 20514 22581 27406 30108 30771 33228 37346 41028 41109 45162 50759 54812 56019 61542 74692 82218 90324 101518 112038 123084 123327 152277 164436 168057 178139 203036 224076 242749 246654 304554 336114 356278 456831 485498 493308 534417 609108 659867 672228 712556 728247 913662 970996 1068834 1319734 1456494 1603251 1827324 1979601 2137668 2184741 2639468 2912988 3206502 3603889 3959202 4369482 5938803 6413004 7207778 7918404 8738964 10811667 11877606 14415556 21623334 23755212 32435001 43246668 46850557 64870002 93701114 129740004 140551671 187402228 281103342 421655013 562206684 843310026 1686620052