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1997379216 = 24337660509
BaseRepresentation
bin111011100001101…
…1001011010010000
312011012102101012000
41313003121122100
513042312113331
6530110434000
7100332305010
oct16703313220
95135371160
101997379216
11935517628
12478b02900
1325aa6a4c1
1414d3b5c40
15ba5460e6
hex770d9690

1997379216 has 80 divisors (see below), whose sum is σ = 6552259200. Its totient is φ = 570678912.

The previous prime is 1997379211. The next prime is 1997379221. The reversal of 1997379216 is 6129737991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1997379211) and next prime (1997379221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1997379211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327231 + ... + 333278.

It is an arithmetic number, because the mean of its divisors is an integer number (81903240).

Almost surely, 21997379216 is an apocalyptic number.

1997379216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1997379216 is an abundant number, since it is smaller than the sum of its proper divisors (4554879984).

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

1997379216 is a wasteful number, since it uses less digits than its factorization.

1997379216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660533 (or 660521 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 1997379216 is about 44692.0486887768. The cubic root of 1997379216 is about 1259.3704791822.

The spelling of 1997379216 in words is "one billion, nine hundred ninety-seven million, three hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 660509 1321018 1981527 2642036 3963054 4623563 5284072 5944581 7926108 9247126 10568144 11889162 13870689 15852216 17833743 18494252 23778324 27741378 31704432 35667486 36988504 41612067 47556648 55482756 71334972 73977008 83224134 95113296 110965512 124836201 142669944 166448268 221931024 249672402 285339888 332896536 499344804 665793072 998689608 1997379216