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1997496160 = 255113121181
BaseRepresentation
bin111011100001111…
…0101111101100000
312011012122022121021
41313003311331200
513042324334120
6530113135224
7100333302652
oct16703657540
95135568537
101997496160
11935597480
12478b5a514
1325aaab7ba
1414d4066d2
15ba56aaaa
hex770f5f60

1997496160 has 144 divisors (see below), whose sum is σ = 5324021136. Its totient is φ = 702336000.

The previous prime is 1997496143. The next prime is 1997496167. The reversal of 1997496160 is 616947991.

It is a junction number, because it is equal to n+sod(n) for n = 1997496098 and 1997496107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997496167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690770 + ... + 1691950.

It is an arithmetic number, because the mean of its divisors is an integer number (36972369).

Almost surely, 21997496160 is an apocalyptic number.

1997496160 is a gapful number since it is divisible by the number (10) 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 1997496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662010568).

1997496160 is an abundant number, since it is smaller than the sum of its proper divisors (3326524976).

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

1997496160 is a wasteful number, since it uses less digits than its factorization.

1997496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The square root of 1997496160 is about 44693.3570007893. The cubic root of 1997496160 is about 1259.3950568798.

The spelling of 1997496160 in words is "one billion, nine hundred ninety-seven million, four hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 961 992 1181 1240 1364 1705 1760 1922 2362 2480 2728 3410 3844 4724 4805 4960 5456 5905 6820 7688 9448 9610 10571 10912 11810 12991 13640 15376 18896 19220 21142 23620 25982 27280 30752 36611 37792 38440 42284 47240 51964 52855 54560 64955 73222 76880 84568 94480 103928 105710 129910 146444 153760 169136 183055 188960 207856 211420 259820 292888 338272 366110 402721 415712 422840 519640 585776 732220 805442 845680 1039280 1134941 1171552 1464440 1610884 1691360 2013605 2078560 2269882 2928880 3221768 4027210 4539764 5674705 5857760 6443536 8054420 9079528 11349410 12484351 12887072 16108840 18159056 22698820 24968702 32217680 36318112 45397640 49937404 62421755 64435360 90795280 99874808 124843510 181590560 199749616 249687020 399499232 499374040 998748080 1997496160