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161741440 = 275779457
BaseRepresentation
bin10011010001111…
…11101010000000
3102021100022112201
421220333222000
5312401211230
624014402544
74002531250
oct1150775200
9367308481
10161741440
1183331813
1246200454
13276802c3
14176a3960
15e2ed5ca
hex9a3fa80

161741440 has 128 divisors (see below), whose sum is σ = 448473600. Its totient is φ = 54632448.

The previous prime is 161741431. The next prime is 161741443. The reversal of 161741440 is 44147161.

161741440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 161741399 and 161741408.

It is not an unprimeable number, because it can be changed into a prime (161741443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353692 + ... + 354148.

It is an arithmetic number, because the mean of its divisors is an integer number (3503700).

Almost surely, 2161741440 is an apocalyptic number.

161741440 is a gapful number since it is divisible by the number (10) 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 161741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224236800).

161741440 is an abundant number, since it is smaller than the sum of its proper divisors (286732160).

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

161741440 is an equidigital number, since it uses as much as digits as its factorization.

161741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 161741440 is about 12717.7608091991. The cubic root of 161741440 is about 544.8460019965.

The spelling of 161741440 in words is "one hundred sixty-one million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 280 316 320 395 448 457 553 560 632 640 790 896 914 1106 1120 1264 1580 1828 2212 2240 2285 2528 2765 3160 3199 3656 4424 4480 4570 5056 5530 6320 6398 7312 8848 9140 10112 11060 12640 12796 14624 15995 17696 18280 22120 25280 25592 29248 31990 35392 36103 36560 44240 50560 51184 58496 63980 70784 72206 73120 88480 102368 127960 144412 146240 176960 180515 204736 252721 255920 288824 292480 353920 361030 409472 505442 511840 577648 722060 1010884 1023680 1155296 1263605 1444120 2021768 2047360 2310592 2527210 2888240 4043536 4621184 5054420 5776480 8087072 10108840 11552960 16174144 20217680 23105920 32348288 40435360 80870720 161741440