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161044632 = 23337432477
BaseRepresentation
bin10011001100101…
…01100010011000
3102020000220201000
421212111202120
5312211412012
623551425000
73663566610
oct1146254230
9366026630
10161044632
11829a6241
1245b25160
13274980a8
1417561a40
15e211ddc
hex9995898

161044632 has 128 divisors (see below), whose sum is σ = 523353600. Its totient is φ = 44924544.

The previous prime is 161044603. The next prime is 161044633. The reversal of 161044632 is 236440161.

161044632 is a `hidden beast` number, since 1 + 610 + 4 + 46 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 161044596 and 161044605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161044633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63778 + ... + 66254.

It is an arithmetic number, because the mean of its divisors is an integer number (4088700).

Almost surely, 2161044632 is an apocalyptic number.

161044632 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 161044632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261676800).

161044632 is an abundant number, since it is smaller than the sum of its proper divisors (362308968).

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

161044632 is a wasteful number, since it uses less digits than its factorization.

161044632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 161044632 is about 12690.3361657601. The cubic root of 161044632 is about 544.0624477763.

Adding to 161044632 its reverse (236440161), we get a palindrome (397484793).

It can be divided in two parts, 16104 and 4632, that added together give a 4-th power (20736 = 124).

The spelling of 161044632 in words is "one hundred sixty-one million, forty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1806 2322 2408 2477 2709 3096 3612 4644 4954 5418 7224 7431 8127 9288 9908 10836 14862 16254 17339 19816 21672 22293 29724 32508 34678 44586 52017 59448 65016 66879 69356 89172 104034 106511 133758 138712 156051 178344 208068 213022 267516 312102 319533 416136 426044 468153 535032 624204 639066 745577 852088 936306 958599 1248408 1278132 1491154 1872612 1917198 2236731 2556264 2875797 2982308 3745224 3834396 4473462 5751594 5964616 6710193 7668792 8946924 11503188 13420386 17893848 20130579 23006376 26840772 40261158 53681544 80522316 161044632