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11897040 = 2435192609
BaseRepresentation
bin101101011000…
…100011010000
3211101102200010
4231120203100
511021201130
61102554520
7203060151
oct55304320
924342603
1011897040
116796471
123b98a40
13260718c
141819928
1510a00b0
hexb588d0

11897040 has 80 divisors (see below), whose sum is σ = 38836800. Its totient is φ = 3004416.

The previous prime is 11896999. The next prime is 11897051. The reversal of 11897040 is 4079811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11896989 and 11897007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3256 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (485460).

Almost surely, 211897040 is an apocalyptic number.

11897040 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 11897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418400).

11897040 is an abundant number, since it is smaller than the sum of its proper divisors (26939760).

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

11897040 is a wasteful number, since it uses less digits than its factorization.

11897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11897040 is about 3449.2086048832. The cubic root of 11897040 is about 228.2861903253.

The spelling of 11897040 in words is "eleven million, eight hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2609 4560 5218 7827 10436 13045 15654 20872 26090 31308 39135 41744 49571 52180 62616 78270 99142 104360 125232 148713 156540 198284 208720 247855 297426 313080 396568 495710 594852 626160 743565 793136 991420 1189704 1487130 1982840 2379408 2974260 3965680 5948520 11897040