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161105040 = 24325223757
BaseRepresentation
bin10011001101001…
…00010010010000
3102020010222120100
421212210102100
5312220330130
623553012400
73664240665
oct1146442220
9366128510
10161105040
1182a37668
1245b54100
13274b9735
1417579a6c
15e224c60
hex99a4490

161105040 has 60 divisors (see below), whose sum is σ = 541046844. Its totient is φ = 42961152.

The previous prime is 161105033. The next prime is 161105053. The reversal of 161105040 is 40501161.

161105040 is a `hidden beast` number, since 1 + 611 + 0 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 65221776 = 9792^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111159 + ... + 112598.

Almost surely, 2161105040 is an apocalyptic number.

161105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161105040 is an abundant number, since it is smaller than the sum of its proper divisors (379941804).

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

161105040 is a wasteful number, since it uses less digits than its factorization.

161105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223776 (or 223767 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 161105040 is about 12692.7160214038. The cubic root of 161105040 is about 544.1304653925.

The spelling of 161105040 in words is "one hundred sixty-one million, one hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 223757 447514 671271 895028 1118785 1342542 1790056 2013813 2237570 2685084 3356355 3580112 4027626 4475140 5370168 6712710 8055252 8950280 10069065 10740336 13425420 16110504 17900560 20138130 26850840 32221008 40276260 53701680 80552520 161105040