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168981972 = 223171943597
BaseRepresentation
bin10100001001001…
…11010111010100
3102202222011200120
422010213113110
5321224410342
624433511540
74121215545
oct1204472724
9382864616
10168981972
1187427725
12487125b0
1329016b43
141862a4cc
15ec7daec
hexa1275d4

168981972 has 48 divisors (see below), whose sum is σ = 439467840. Its totient is φ = 50222592.

The previous prime is 168981949. The next prime is 168981983. The reversal of 168981972 is 279189861.

It is a super-2 number, since 2×1689819722 = 57109813722017568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17923 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (9155580).

Almost surely, 2168981972 is an apocalyptic number.

168981972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168981972 is an abundant number, since it is smaller than the sum of its proper divisors (270485868).

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

168981972 is a wasteful number, since it uses less digits than its factorization.

168981972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43640 (or 43638 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The square root of 168981972 is about 12999.3065968920. The cubic root of 168981972 is about 552.8578213488.

The spelling of 168981972 in words is "one hundred sixty-eight million, nine hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 43597 87194 130791 174388 261582 523164 741149 828343 1482298 1656686 2223447 2485029 2964596 3313372 4446894 4970058 8893788 9940116 14081831 28163662 42245493 56327324 84490986 168981972