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161861680 = 24537149367
BaseRepresentation
bin10011010010111…
…01000000110000
3102021120102111001
421221131000300
5312414033210
624021131344
74003541641
oct1151350060
9367512431
10161861680
1183404092
1246259b54
13276c2c56
14176d56c8
15e32403a
hex9a5d030

161861680 has 80 divisors (see below), whose sum is σ = 390153600. Its totient is φ = 62401536.

The previous prime is 161861671. The next prime is 161861681. The reversal of 161861680 is 86168161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (161861681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440857 + ... + 441223.

It is an arithmetic number, because the mean of its divisors is an integer number (4876920).

Almost surely, 2161861680 is an apocalyptic number.

161861680 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 161861680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195076800).

161861680 is an abundant number, since it is smaller than the sum of its proper divisors (228291920).

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

161861680 is a wasteful number, since it uses less digits than its factorization.

161861680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 161861680 is about 12722.4871782211. The cubic root of 161861680 is about 544.9809829798.

The spelling of 161861680 in words is "one hundred sixty-one million, eight hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 149 185 296 298 367 370 592 596 734 740 745 1192 1468 1480 1490 1835 2384 2936 2960 2980 3670 5513 5872 5960 7340 11026 11920 13579 14680 22052 27158 27565 29360 44104 54316 54683 55130 67895 88208 108632 109366 110260 135790 217264 218732 220520 271580 273415 437464 441040 543160 546830 874928 1086320 1093660 2023271 2187320 4046542 4374640 8093084 10116355 16186168 20232710 32372336 40465420 80930840 161861680