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168770052 = 223211676361
BaseRepresentation
bin10100000111100…
…11101000000100
3102202120101222200
422003303220010
5321201120202
624425154500
74116343653
oct1203635004
9382511880
10168770052
11872a2490
124862ba30
1328c71549
14185b319a
15ec3ae1c
hexa0f3a04

168770052 has 72 divisors (see below), whose sum is σ = 472416672. Its totient is φ = 50371200.

The previous prime is 168770029. The next prime is 168770071. The reversal of 168770052 is 250077861.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 168769989 and 168770016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23352 + ... + 29712.

Almost surely, 2168770052 is an apocalyptic number.

168770052 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 168770052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236208336).

168770052 is an abundant number, since it is smaller than the sum of its proper divisors (303646620).

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

168770052 is a wasteful number, since it uses less digits than its factorization.

168770052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 168770052 is about 12991.1528356801. The cubic root of 168770052 is about 552.6266119883.

The spelling of 168770052 in words is "one hundred sixty-eight million, seven hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6361 6633 8844 12722 13266 19083 25444 26532 38166 57249 69971 76332 114498 139942 209913 228996 279884 419826 426187 629739 839652 852374 1259478 1278561 1704748 2518956 2557122 3835683 4688057 5114244 7671366 9376114 14064171 15342732 18752228 28128342 42192513 56256684 84385026 168770052