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161104032 = 2533199937
BaseRepresentation
bin10011001101001…
…00000010100000
3102020010221012000
421212210002200
5312220312112
623553004000
73664235025
oct1146440240
9366127160
10161104032
1182a36931
1245b53600
13274b913b
141757954c
15e2247dc
hex99a40a0

161104032 has 96 divisors (see below), whose sum is σ = 472752000. Its totient is φ = 53374464.

The previous prime is 161104007. The next prime is 161104033. The reversal of 161104032 is 230401161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 161103996 and 161104014.

It is not an unprimeable number, because it can be changed into a prime (161104033) 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, 171468 + ... + 172404.

It is an arithmetic number, because the mean of its divisors is an integer number (4924500).

Almost surely, 2161104032 is an apocalyptic number.

161104032 is a gapful number since it is divisible by the number (12) 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 161104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236376000).

161104032 is an abundant number, since it is smaller than the sum of its proper divisors (311647968).

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

161104032 is a wasteful number, since it uses less digits than its factorization.

161104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161104032 is about 12692.6763135282. The cubic root of 161104032 is about 544.1293305539.

Adding to 161104032 its reverse (230401161), we get a palindrome (391505193).

The spelling of 161104032 in words is "one hundred sixty-one million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 937 1194 1592 1791 1874 2388 2811 3184 3582 3748 4776 5373 5622 6368 7164 7496 8433 9552 10746 11244 14328 14992 16866 19104 21492 22488 25299 28656 29984 33732 42984 44976 50598 57312 67464 85968 89952 101196 134928 171936 186463 202392 269856 372926 404784 559389 745852 809568 1118778 1491704 1678167 2237556 2983408 3356334 4475112 5034501 5966816 6712668 8950224 10069002 13425336 17900448 20138004 26850672 40276008 53701344 80552016 161104032