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161440400 = 24521136691
BaseRepresentation
bin10011001111101…
…10001010010000
3102020210000121002
421213312022100
5312312043100
624004121132
74000135502
oct1147661220
9366700532
10161440400
1183146620
12460961a8
13275a6284
1417625d72
15e28e2d5
hex99f6290

161440400 has 60 divisors (see below), whose sum is σ = 423132144. Its totient is φ = 58704000.

The previous prime is 161440399. The next prime is 161440421. The reversal of 161440400 is 4044161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13946 + ... + 22745.

Almost surely, 2161440400 is an apocalyptic number.

161440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161440400 is an abundant number, since it is smaller than the sum of its proper divisors (261691744).

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

161440400 is a wasteful number, since it uses less digits than its factorization.

161440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36720 (or 36709 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 161440400 is about 12705.9198801189. The cubic root of 161440400 is about 544.5077619297.

Adding to 161440400 its reverse (4044161), we get a palindrome (165484561).

The spelling of 161440400 in words is "one hundred sixty-one million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 36691 73382 146764 183455 293528 366910 403601 587056 733820 807202 917275 1467640 1614404 1834550 2018005 2935280 3228808 3669100 4036010 6457616 7338200 8072020 10090025 14676400 16144040 20180050 32288080 40360100 80720200 161440400