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1997008640 = 28511141833
BaseRepresentation
bin111011100000111…
…1110111100000000
312011011201112211222
41313001332330000
513042213234030
6530054454212
7100326202424
oct16701767400
95134645758
101997008640
11935294170
12478964368
1325a96a923
1414d31ab84
15ba4c13e5
hex7707ef00

1997008640 has 72 divisors (see below), whose sum is σ = 5218356528. Its totient is φ = 726179840.

The previous prime is 1997008639. The next prime is 1997008669. The reversal of 1997008640 is 468007991.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1997008591 and 1997008600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56837 + ... + 84996.

It is an arithmetic number, because the mean of its divisors is an integer number (72477174).

Almost surely, 21997008640 is an apocalyptic number.

1997008640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1997008640 is an abundant number, since it is smaller than the sum of its proper divisors (3221347888).

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

1997008640 is a wasteful number, since it uses less digits than its factorization.

1997008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141865 (or 141851 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1997008640 is about 44687.9026135709. The cubic root of 1997008640 is about 1259.2925902272.

The spelling of 1997008640 in words is "one billion, nine hundred ninety-seven million, eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 141833 283666 567332 709165 1134664 1418330 1560163 2269328 2836660 3120326 4538656 5673320 6240652 7800815 9077312 11346640 12481304 15601630 18154624 22693280 24962608 31203260 36309248 45386560 49925216 62406520 90773120 99850432 124813040 181546240 199700864 249626080 399401728 499252160 998504320 1997008640