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11497640 = 2357113733
BaseRepresentation
bin101011110111…
…000010101000
3210122010210112
4223313002220
510420411030
61050233452
7166504550
oct53670250
923563715
1011497640
116543390
123a25888
1324c744b
141754160
151021a95
hexaf70a8

11497640 has 64 divisors (see below), whose sum is σ = 32261760. Its totient is φ = 3582720.

The previous prime is 11497597. The next prime is 11497649. The reversal of 11497640 is 4679411.

11497640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11497597 and 11497606.

It is not an unprimeable number, because it can be changed into a prime (11497649) 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, 1214 + ... + 4946.

It is an arithmetic number, because the mean of its divisors is an integer number (504090).

Almost surely, 211497640 is an apocalyptic number.

11497640 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 11497640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130880).

11497640 is an abundant number, since it is smaller than the sum of its proper divisors (20764120).

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

11497640 is a wasteful number, since it uses less digits than its factorization.

11497640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 11497640 is about 3390.8170106923. The cubic root of 11497640 is about 225.7024303064.

The spelling of 11497640 in words is "eleven million, four hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3733 7466 14932 18665 26131 29864 37330 41063 52262 74660 82126 104524 130655 149320 164252 205315 209048 261310 287441 328504 410630 522620 574882 821260 1045240 1149764 1437205 1642520 2299528 2874410 5748820 11497640