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161053032 = 23373832503
BaseRepresentation
bin10011001100101…
…11100101101000
3102020001100020010
421212113211220
5312212144112
623551531520
73663633240
oct1146274550
9366040203
10161053032
1182a01588
1245b29ba0
132749bb6a
1417564b20
15e21463c
hex9997968

161053032 has 64 divisors (see below), whose sum is σ = 461537280. Its totient is φ = 45876672.

The previous prime is 161053003. The next prime is 161053033. The reversal of 161053032 is 230350161.

161053032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (161053033) 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, 63093 + ... + 65595.

It is an arithmetic number, because the mean of its divisors is an integer number (7211520).

Almost surely, 2161053032 is an apocalyptic number.

161053032 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 161053032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230768640).

161053032 is an abundant number, since it is smaller than the sum of its proper divisors (300484248).

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

161053032 is a wasteful number, since it uses less digits than its factorization.

161053032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 161053032 is about 12690.6671219444. The cubic root of 161053032 is about 544.0719069452.

The spelling of 161053032 in words is "one hundred sixty-one million, fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 383 766 1149 1532 2298 2503 2681 3064 4596 5006 5362 7509 8043 9192 10012 10724 15018 16086 17521 20024 21448 30036 32172 35042 52563 60072 64344 70084 105126 140168 210252 420504 958649 1917298 2875947 3834596 5751894 6710543 7669192 11503788 13421086 20131629 23007576 26842172 40263258 53684344 80526516 161053032