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19974168 = 23331931157
BaseRepresentation
bin100110000110…
…0100000011000
31101120210102000
41030030200120
520103133133
61552041000
7331530504
oct114144030
941523360
1019974168
1110302985
126833160
1341a4746
14291d304
151b48413
hex130c818

19974168 has 128 divisors (see below), whose sum is σ = 60672000. Its totient is φ = 6065280.

The previous prime is 19974139. The next prime is 19974169. The reversal of 19974168 is 86147991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19974169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127146 + ... + 127302.

It is an arithmetic number, because the mean of its divisors is an integer number (474000).

Almost surely, 219974168 is an apocalyptic number.

19974168 is a gapful number since it is divisible by the number (18) 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 19974168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336000).

19974168 is an abundant number, since it is smaller than the sum of its proper divisors (40697832).

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

19974168 is a wasteful number, since it uses less digits than its factorization.

19974168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 19974168 is about 4469.2469164279. The cubic root of 19974168 is about 271.3248465827.

It can be divided in two parts, 199741 and 68, that added together give a square (199809 = 4472).

The spelling of 19974168 in words is "nineteen million, nine hundred seventy-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 157 171 186 216 228 248 279 314 342 372 456 471 513 558 589 628 684 744 837 942 1026 1116 1178 1256 1368 1413 1674 1767 1884 2052 2232 2356 2826 2983 3348 3534 3768 4104 4239 4712 4867 5301 5652 5966 6696 7068 8478 8949 9734 10602 11304 11932 14136 14601 15903 16956 17898 19468 21204 23864 26847 29202 31806 33912 35796 38936 42408 43803 53694 58404 63612 71592 80541 87606 92473 107388 116808 127224 131409 161082 175212 184946 214776 262818 277419 322164 350424 369892 525636 554838 644328 739784 832257 1051272 1109676 1664514 2219352 2496771 3329028 4993542 6658056 9987084 19974168