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161074816 = 277296199
BaseRepresentation
bin10011001100111…
…00111010000000
3102020002110002221
421212130322000
5312213343231
623552220424
73664053610
oct1146347200
9366073087
10161074816
1182a16991
1245b3a714
13274a8a56
141756ca40
15e21ad11
hex999ce80

161074816 has 64 divisors (see below), whose sum is σ = 379440000. Its totient is φ = 66640896.

The previous prime is 161074777. The next prime is 161074817. The reversal of 161074816 is 618470161.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (161074817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22885 + ... + 29083.

It is an arithmetic number, because the mean of its divisors is an integer number (5928750).

Almost surely, 2161074816 is an apocalyptic number.

161074816 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 161074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720000).

161074816 is an abundant number, since it is smaller than the sum of its proper divisors (218365184).

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

161074816 is an equidigital number, since it uses as much as digits as its factorization.

161074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 161074816 is about 12691.5253614371. The cubic root of 161074816 is about 544.0964361907.

The spelling of 161074816 in words is "one hundred sixty-one million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6199 6496 12398 12992 24796 25984 43393 49592 86786 99184 173572 179771 198368 347144 359542 396736 694288 719084 793472 1258397 1388576 1438168 2516794 2777152 2876336 5033588 5554304 5752672 10067176 11505344 20134352 23010688 40268704 80537408 161074816