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1997136 = 24342367
BaseRepresentation
bin111100111100101010000
310202110120000
413213211100
51002402021
6110450000
722655361
oct7474520
93673500
101997136
111144529
12803900
1354c04b
1439db68
15296b26
hex1e7950

1997136 has 100 divisors (see below), whose sum is σ = 6121632. Its totient is φ = 627264.

The previous prime is 1997129. The next prime is 1997137. The reversal of 1997136 is 6317991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1997136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29775 + ... + 29841.

21997136 is an apocalyptic number.

1997136 is a gapful number since it is divisible by the number (16) 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 1997136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060816).

1997136 is an abundant number, since it is smaller than the sum of its proper divisors (4124496).

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

1997136 is a wasteful number, since it uses less digits than its factorization.

1997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 1997136 is about 1413.2006227001. The cubic root of 1997136 is about 125.9319360282.

The spelling of 1997136 in words is "one million, nine hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 67 69 72 81 92 108 134 138 144 162 184 201 207 216 268 276 324 368 402 414 432 536 552 603 621 648 804 828 1072 1104 1206 1242 1296 1541 1608 1656 1809 1863 2412 2484 3082 3216 3312 3618 3726 4623 4824 4968 5427 6164 7236 7452 9246 9648 9936 10854 12328 13869 14472 14904 18492 21708 24656 27738 28944 29808 36984 41607 43416 55476 73968 83214 86832 110952 124821 166428 221904 249642 332856 499284 665712 998568 1997136